Nonexistence of small, odd breathers for a class of nonlinear wave equations View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-05

AUTHORS

Michał Kowalczyk, Yvan Martel, Claudio Muñoz

ABSTRACT

In this note, we show that for a large class of nonlinear wave equations with odd nonlinearities, any globally defined odd solution which is small in the energy space decays to 0 in the local energy norm. In particular, this result shows nonexistence of small, odd breathers for some classical nonlinear Klein Gordon equations, such as the sine-Gordon equation and ϕ4 and ϕ6 models. It also partially answers a question of Soffer and Weinstein (Invent Math 136(1): 9–74, p 19 1999) about nonexistence of breathers for the cubic NLKG in dimension one. More... »

PAGES

921-931

References to SciGraph publications

  • 2011-10. On Asymptotic Stability of Kink for Relativistic Ginzburg–Landau Equations in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1999-03. Resonances, radiation damping and instabilitym in Hamiltonian nonlinear wave equations in INVENTIONES MATHEMATICAE
  • 2001-04. Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2011-07. The Hamiltonian Structure of the Nonlinear Schrödinger Equation and the Asymptotic Stability of its Ground States in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1987-12. Nonexistence of spatially localized free vibrations for a class of nonlinear wave equations in COMMENTARII MATHEMATICI HELVETICI
  • 2013-11. Nonlinear Stability of MKdV Breathers in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1982-09. Stability theory for solitary-wave solutions of scalar field equations in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2005-09. A Remark on Asymptotic Completeness for the Critical Nonlinear Klein-Gordon Equation in LETTERS IN MATHEMATICAL PHYSICS
  • 1993-11. Nonpersistence of breather families for the perturbed sine Gordon equation in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1998-12. Time Dependent Resonance Theory in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11005-016-0930-y

    DOI

    http://dx.doi.org/10.1007/s11005-016-0930-y

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1038056264


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "University of Chile", 
              "id": "https://www.grid.ac/institutes/grid.443909.3", 
              "name": [
                "Departamento de Ingenier\u00eda Matem\u00e1tica and Centro de Modelamiento Matem\u00e1tico (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kowalczyk", 
            "givenName": "Micha\u0142", 
            "id": "sg:person.07655042526.47", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07655042526.47"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "French National Centre for Scientific Research", 
              "id": "https://www.grid.ac/institutes/grid.4444.0", 
              "name": [
                "CMLS, \u00c9cole polytechnique, CNRS, Universit\u00e9 Paris Saclay, 91128, Palaiseau Cedex, France"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Martel", 
            "givenName": "Yvan", 
            "id": "sg:person.011243620274.46", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011243620274.46"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Chile", 
              "id": "https://www.grid.ac/institutes/grid.443909.3", 
              "name": [
                "CNRS and Departamento de Ingenier\u00eda Matem\u00e1tica and Centro de Modelamiento Matem\u00e1tico (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Mu\u00f1oz", 
            "givenName": "Claudio", 
            "id": "sg:person.013256712037.15", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013256712037.15"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/s11005-005-0021-y", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009381171", 
              "https://doi.org/10.1007/s11005-005-0021-y"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11005-005-0021-y", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009381171", 
              "https://doi.org/10.1007/s11005-005-0021-y"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02108081", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013673099", 
              "https://doi.org/10.1007/bf02108081"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02108081", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013673099", 
              "https://doi.org/10.1007/bf02108081"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1353/ajm.2011.0034", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013690008"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00220-011-1265-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017947179", 
              "https://doi.org/10.1007/s00220-011-1265-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0894-0347-06-00524-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021000309"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s000390050124", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026894586", 
              "https://doi.org/10.1007/s000390050124"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02564463", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029324203", 
              "https://doi.org/10.1007/bf02564463"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01208719", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030277710", 
              "https://doi.org/10.1007/bf01208719"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01208719", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030277710", 
              "https://doi.org/10.1007/bf01208719"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030610024"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9947-07-04356-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032039219"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3160470803", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032595796"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3160470803", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032595796"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0273-0979-07-01167-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034473467"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002050100138", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034575776", 
              "https://doi.org/10.1007/s002050100138"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00205-011-0415-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035475081", 
              "https://doi.org/10.1007/s00205-011-0415-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00205-011-0415-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035475081", 
              "https://doi.org/10.1007/s00205-011-0415-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00205-011-0415-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035475081", 
              "https://doi.org/10.1007/s00205-011-0415-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3160440704", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035727607"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3160440704", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035727607"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0294-1449(02)00018-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041408804"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0294-1449(02)00018-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041408804"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002220050303", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041582967", 
              "https://doi.org/10.1007/s002220050303"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0021-7824(00)00159-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042322177"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0012-9593(00)01059-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044015565"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00220-013-1792-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047198262", 
              "https://doi.org/10.1007/s00220-013-1792-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.525867", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058102886"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0951-7715/18/1/004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059109335"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9947-2014-05770-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059336062"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9947-2014-06455-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059336240"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/jams/870", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059342428"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/tran/6478", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059351373"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.20.3120", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060687595"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.20.3120", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060687595"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.58.747", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060795380"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.58.747", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060795380"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0219891605000385", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1063010435"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2140/apde.2012.5.411", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069059405"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2140/apde.2015.8.629", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069059605"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4007/annals.2005.161.157", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071866897"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.5802/aif.3041", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1073138889"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.24033/asens.2271", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1084408634"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/cbo9780511535192", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098707668"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/trans2/164", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098740635"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2017-05", 
        "datePublishedReg": "2017-05-01", 
        "description": "In this note, we show that for a large class of nonlinear wave equations with odd nonlinearities, any globally defined odd solution which is small in the energy space decays to 0 in the local energy norm. In particular, this result shows nonexistence of small, odd breathers for some classical nonlinear Klein Gordon equations, such as the sine-Gordon equation and \u03d54 and \u03d56 models. It also partially answers a question of Soffer and Weinstein (Invent Math 136(1): 9\u201374, p 19 1999) about nonexistence of breathers for the cubic NLKG in dimension one.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s11005-016-0930-y", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isFundedItemOf": [
          {
            "id": "sg:grant.3786085", 
            "type": "MonetaryGrant"
          }
        ], 
        "isPartOf": [
          {
            "id": "sg:journal.1327584", 
            "issn": [
              "0377-9017", 
              "1573-0530"
            ], 
            "name": "Letters in Mathematical Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "5", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "107"
          }
        ], 
        "name": "Nonexistence of small, odd breathers for a class of nonlinear wave equations", 
        "pagination": "921-931", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "b54974220a9b03bf8ecce6b25646fa7457a7de4cf1b480e46534c8cc67d666ba"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s11005-016-0930-y"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1038056264"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s11005-016-0930-y", 
          "https://app.dimensions.ai/details/publication/pub.1038056264"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T12:40", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000363_0000000363/records_70049_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs11005-016-0930-y"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s11005-016-0930-y'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s11005-016-0930-y'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11005-016-0930-y'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11005-016-0930-y'


     

    This table displays all metadata directly associated to this object as RDF triples.

    199 TRIPLES      21 PREDICATES      63 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s11005-016-0930-y schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N35b54061de2a4b5bb7868cca33f6294c
    4 schema:citation sg:pub.10.1007/bf01208719
    5 sg:pub.10.1007/bf02108081
    6 sg:pub.10.1007/bf02564463
    7 sg:pub.10.1007/s000390050124
    8 sg:pub.10.1007/s00205-011-0415-1
    9 sg:pub.10.1007/s002050100138
    10 sg:pub.10.1007/s00220-011-1265-2
    11 sg:pub.10.1007/s00220-013-1792-0
    12 sg:pub.10.1007/s002220050303
    13 sg:pub.10.1007/s11005-005-0021-y
    14 https://doi.org/10.1002/cpa.3012
    15 https://doi.org/10.1002/cpa.3160440704
    16 https://doi.org/10.1002/cpa.3160470803
    17 https://doi.org/10.1016/s0012-9593(00)01059-4
    18 https://doi.org/10.1016/s0021-7824(00)00159-8
    19 https://doi.org/10.1016/s0294-1449(02)00018-5
    20 https://doi.org/10.1017/cbo9780511535192
    21 https://doi.org/10.1063/1.525867
    22 https://doi.org/10.1088/0951-7715/18/1/004
    23 https://doi.org/10.1090/jams/870
    24 https://doi.org/10.1090/s0002-9947-07-04356-5
    25 https://doi.org/10.1090/s0002-9947-2014-05770-x
    26 https://doi.org/10.1090/s0002-9947-2014-06455-6
    27 https://doi.org/10.1090/s0273-0979-07-01167-6
    28 https://doi.org/10.1090/s0894-0347-06-00524-8
    29 https://doi.org/10.1090/tran/6478
    30 https://doi.org/10.1090/trans2/164
    31 https://doi.org/10.1103/physrevd.20.3120
    32 https://doi.org/10.1103/physrevlett.58.747
    33 https://doi.org/10.1142/s0219891605000385
    34 https://doi.org/10.1353/ajm.2011.0034
    35 https://doi.org/10.2140/apde.2012.5.411
    36 https://doi.org/10.2140/apde.2015.8.629
    37 https://doi.org/10.24033/asens.2271
    38 https://doi.org/10.4007/annals.2005.161.157
    39 https://doi.org/10.5802/aif.3041
    40 schema:datePublished 2017-05
    41 schema:datePublishedReg 2017-05-01
    42 schema:description In this note, we show that for a large class of nonlinear wave equations with odd nonlinearities, any globally defined odd solution which is small in the energy space decays to 0 in the local energy norm. In particular, this result shows nonexistence of small, odd breathers for some classical nonlinear Klein Gordon equations, such as the sine-Gordon equation and ϕ4 and ϕ6 models. It also partially answers a question of Soffer and Weinstein (Invent Math 136(1): 9–74, p 19 1999) about nonexistence of breathers for the cubic NLKG in dimension one.
    43 schema:genre research_article
    44 schema:inLanguage en
    45 schema:isAccessibleForFree true
    46 schema:isPartOf N789858cd24a3402c92dce3d9828035f4
    47 N98b7e19b5b7447a69ebc05bb1b96b51d
    48 sg:journal.1327584
    49 schema:name Nonexistence of small, odd breathers for a class of nonlinear wave equations
    50 schema:pagination 921-931
    51 schema:productId N986d504ec05b460bab3369b6aa74b40e
    52 Nc37c3bde5d974173a3e00ddd434dec6b
    53 Nf27b15339a3e438aaad701447b44d86b
    54 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038056264
    55 https://doi.org/10.1007/s11005-016-0930-y
    56 schema:sdDatePublished 2019-04-11T12:40
    57 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    58 schema:sdPublisher N4813c884b255454db327323771684114
    59 schema:url https://link.springer.com/10.1007%2Fs11005-016-0930-y
    60 sgo:license sg:explorer/license/
    61 sgo:sdDataset articles
    62 rdf:type schema:ScholarlyArticle
    63 N35b54061de2a4b5bb7868cca33f6294c rdf:first sg:person.07655042526.47
    64 rdf:rest N6fc653711eb1415395e2fb5f77d1a8d3
    65 N4813c884b255454db327323771684114 schema:name Springer Nature - SN SciGraph project
    66 rdf:type schema:Organization
    67 N6fc653711eb1415395e2fb5f77d1a8d3 rdf:first sg:person.011243620274.46
    68 rdf:rest Ndc7133077f1f4e3ba03dd53b0a2aa877
    69 N789858cd24a3402c92dce3d9828035f4 schema:issueNumber 5
    70 rdf:type schema:PublicationIssue
    71 N986d504ec05b460bab3369b6aa74b40e schema:name dimensions_id
    72 schema:value pub.1038056264
    73 rdf:type schema:PropertyValue
    74 N98b7e19b5b7447a69ebc05bb1b96b51d schema:volumeNumber 107
    75 rdf:type schema:PublicationVolume
    76 Nc37c3bde5d974173a3e00ddd434dec6b schema:name doi
    77 schema:value 10.1007/s11005-016-0930-y
    78 rdf:type schema:PropertyValue
    79 Ndc7133077f1f4e3ba03dd53b0a2aa877 rdf:first sg:person.013256712037.15
    80 rdf:rest rdf:nil
    81 Nf27b15339a3e438aaad701447b44d86b schema:name readcube_id
    82 schema:value b54974220a9b03bf8ecce6b25646fa7457a7de4cf1b480e46534c8cc67d666ba
    83 rdf:type schema:PropertyValue
    84 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    85 schema:name Mathematical Sciences
    86 rdf:type schema:DefinedTerm
    87 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    88 schema:name Pure Mathematics
    89 rdf:type schema:DefinedTerm
    90 sg:grant.3786085 http://pending.schema.org/fundedItem sg:pub.10.1007/s11005-016-0930-y
    91 rdf:type schema:MonetaryGrant
    92 sg:journal.1327584 schema:issn 0377-9017
    93 1573-0530
    94 schema:name Letters in Mathematical Physics
    95 rdf:type schema:Periodical
    96 sg:person.011243620274.46 schema:affiliation https://www.grid.ac/institutes/grid.4444.0
    97 schema:familyName Martel
    98 schema:givenName Yvan
    99 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011243620274.46
    100 rdf:type schema:Person
    101 sg:person.013256712037.15 schema:affiliation https://www.grid.ac/institutes/grid.443909.3
    102 schema:familyName Muñoz
    103 schema:givenName Claudio
    104 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013256712037.15
    105 rdf:type schema:Person
    106 sg:person.07655042526.47 schema:affiliation https://www.grid.ac/institutes/grid.443909.3
    107 schema:familyName Kowalczyk
    108 schema:givenName Michał
    109 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07655042526.47
    110 rdf:type schema:Person
    111 sg:pub.10.1007/bf01208719 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030277710
    112 https://doi.org/10.1007/bf01208719
    113 rdf:type schema:CreativeWork
    114 sg:pub.10.1007/bf02108081 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013673099
    115 https://doi.org/10.1007/bf02108081
    116 rdf:type schema:CreativeWork
    117 sg:pub.10.1007/bf02564463 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029324203
    118 https://doi.org/10.1007/bf02564463
    119 rdf:type schema:CreativeWork
    120 sg:pub.10.1007/s000390050124 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026894586
    121 https://doi.org/10.1007/s000390050124
    122 rdf:type schema:CreativeWork
    123 sg:pub.10.1007/s00205-011-0415-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035475081
    124 https://doi.org/10.1007/s00205-011-0415-1
    125 rdf:type schema:CreativeWork
    126 sg:pub.10.1007/s002050100138 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034575776
    127 https://doi.org/10.1007/s002050100138
    128 rdf:type schema:CreativeWork
    129 sg:pub.10.1007/s00220-011-1265-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017947179
    130 https://doi.org/10.1007/s00220-011-1265-2
    131 rdf:type schema:CreativeWork
    132 sg:pub.10.1007/s00220-013-1792-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047198262
    133 https://doi.org/10.1007/s00220-013-1792-0
    134 rdf:type schema:CreativeWork
    135 sg:pub.10.1007/s002220050303 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041582967
    136 https://doi.org/10.1007/s002220050303
    137 rdf:type schema:CreativeWork
    138 sg:pub.10.1007/s11005-005-0021-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1009381171
    139 https://doi.org/10.1007/s11005-005-0021-y
    140 rdf:type schema:CreativeWork
    141 https://doi.org/10.1002/cpa.3012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030610024
    142 rdf:type schema:CreativeWork
    143 https://doi.org/10.1002/cpa.3160440704 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035727607
    144 rdf:type schema:CreativeWork
    145 https://doi.org/10.1002/cpa.3160470803 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032595796
    146 rdf:type schema:CreativeWork
    147 https://doi.org/10.1016/s0012-9593(00)01059-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044015565
    148 rdf:type schema:CreativeWork
    149 https://doi.org/10.1016/s0021-7824(00)00159-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042322177
    150 rdf:type schema:CreativeWork
    151 https://doi.org/10.1016/s0294-1449(02)00018-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041408804
    152 rdf:type schema:CreativeWork
    153 https://doi.org/10.1017/cbo9780511535192 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098707668
    154 rdf:type schema:CreativeWork
    155 https://doi.org/10.1063/1.525867 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058102886
    156 rdf:type schema:CreativeWork
    157 https://doi.org/10.1088/0951-7715/18/1/004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059109335
    158 rdf:type schema:CreativeWork
    159 https://doi.org/10.1090/jams/870 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059342428
    160 rdf:type schema:CreativeWork
    161 https://doi.org/10.1090/s0002-9947-07-04356-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032039219
    162 rdf:type schema:CreativeWork
    163 https://doi.org/10.1090/s0002-9947-2014-05770-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1059336062
    164 rdf:type schema:CreativeWork
    165 https://doi.org/10.1090/s0002-9947-2014-06455-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059336240
    166 rdf:type schema:CreativeWork
    167 https://doi.org/10.1090/s0273-0979-07-01167-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034473467
    168 rdf:type schema:CreativeWork
    169 https://doi.org/10.1090/s0894-0347-06-00524-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021000309
    170 rdf:type schema:CreativeWork
    171 https://doi.org/10.1090/tran/6478 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059351373
    172 rdf:type schema:CreativeWork
    173 https://doi.org/10.1090/trans2/164 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098740635
    174 rdf:type schema:CreativeWork
    175 https://doi.org/10.1103/physrevd.20.3120 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060687595
    176 rdf:type schema:CreativeWork
    177 https://doi.org/10.1103/physrevlett.58.747 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060795380
    178 rdf:type schema:CreativeWork
    179 https://doi.org/10.1142/s0219891605000385 schema:sameAs https://app.dimensions.ai/details/publication/pub.1063010435
    180 rdf:type schema:CreativeWork
    181 https://doi.org/10.1353/ajm.2011.0034 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013690008
    182 rdf:type schema:CreativeWork
    183 https://doi.org/10.2140/apde.2012.5.411 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069059405
    184 rdf:type schema:CreativeWork
    185 https://doi.org/10.2140/apde.2015.8.629 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069059605
    186 rdf:type schema:CreativeWork
    187 https://doi.org/10.24033/asens.2271 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084408634
    188 rdf:type schema:CreativeWork
    189 https://doi.org/10.4007/annals.2005.161.157 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071866897
    190 rdf:type schema:CreativeWork
    191 https://doi.org/10.5802/aif.3041 schema:sameAs https://app.dimensions.ai/details/publication/pub.1073138889
    192 rdf:type schema:CreativeWork
    193 https://www.grid.ac/institutes/grid.443909.3 schema:alternateName University of Chile
    194 schema:name CNRS and Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
    195 Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile
    196 rdf:type schema:Organization
    197 https://www.grid.ac/institutes/grid.4444.0 schema:alternateName French National Centre for Scientific Research
    198 schema:name CMLS, École polytechnique, CNRS, Université Paris Saclay, 91128, Palaiseau Cedex, France
    199 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...