Propagation principle for parabolic H-measures View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03-27

AUTHORS

Ivan Ivec, Martin Lazar

ABSTRACT

We extend results obtained by Francfort (An introduction to H-measures and their applications. Variational problems in materials science. Birkhäuser, Basel, pp 85–110, 2006) to parabolic H-measures developed by Antonić and Lazar (J Funct Anal 265:1190–1239, 2013). The well known theory of pseudodifferential operators is extended to parabolic classes of symbols and operators and used to obtain results applicable to a wide class of partial differential equations. The main result is the propagation principle which is then applied to the Schrödinger equation and the vibrating plate equation. More... »

PAGES

1-23

References to SciGraph publications

  • 2014-01. Controllability of Two Coupled Wave Equations on a Compact Manifold in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2018-09. Second commutation lemma for fractional H-measures in JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11868-019-00289-z

    DOI

    http://dx.doi.org/10.1007/s11868-019-00289-z

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1113048712


    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 Zagreb", 
              "id": "https://www.grid.ac/institutes/grid.4808.4", 
              "name": [
                "Faculty of Metallurgy, University of Zagreb, Aleja narodnih heroja 3, Sisak, Croatia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Ivec", 
            "givenName": "Ivan", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Dubrovnik", 
              "id": "https://www.grid.ac/institutes/grid.445423.0", 
              "name": [
                "University of Dubrovnik, \u0106ira Cari\u0107a 4, Dubrovnik, Croatia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Lazar", 
            "givenName": "Martin", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/j.jfa.2013.06.006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003062744"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0764-4442(97)80053-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005838290"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0022-1236(03)00194-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011062540"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0022-1236(03)00194-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011062540"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/03605309108820822", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022528357"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.crma.2014.04.007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024507471"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jmaa.2007.12.077", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025629115"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1155/2011/901084", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035722565"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.nonrwa.2008.07.010", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043410349"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/00036811.2016.1248422", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049156092"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00205-013-0670-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053518066", 
              "https://doi.org/10.1007/s00205-013-0670-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0308210500023325", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054894015"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3792/pja/1195518695", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071427391"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3934/cpaa.2011.10.1617", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071731755"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4064/sm200-1-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072185108"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4171/rmi/143", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072320417"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/dpde.2012.v9.n3.a3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072459723"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11868-017-0207-y", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1085073693", 
              "https://doi.org/10.1007/s11868-017-0207-y"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11868-017-0207-y", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1085073693", 
              "https://doi.org/10.1007/s11868-017-0207-y"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-03-27", 
        "datePublishedReg": "2019-03-27", 
        "description": "We extend results obtained by Francfort (An introduction to H-measures and their applications. Variational problems in materials science. Birkh\u00e4user, Basel, pp 85\u2013110, 2006) to parabolic H-measures developed by Antoni\u0107 and Lazar (J Funct Anal 265:1190\u20131239, 2013). The well known theory of pseudodifferential operators is extended to parabolic classes of symbols and operators and used to obtain results applicable to a wide class of partial differential equations. The main result is the propagation principle which is then applied to the Schr\u00f6dinger equation and the vibrating plate equation.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s11868-019-00289-z", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136558", 
            "issn": [
              "1662-9981", 
              "1662-999X"
            ], 
            "name": "Journal of Pseudo-Differential Operators and Applications", 
            "type": "Periodical"
          }
        ], 
        "name": "Propagation principle for parabolic H-measures", 
        "pagination": "1-23", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "e6a7c45aa1cbf2e97416d9a5c1432d08d2dd2679f55d99e2a6552ccab75df9ec"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s11868-019-00289-z"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1113048712"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s11868-019-00289-z", 
          "https://app.dimensions.ai/details/publication/pub.1113048712"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:20", 
        "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/v90/0000000368_0000000368/records_78970_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs11868-019-00289-z"
      }
    ]
     

    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/s11868-019-00289-z'

    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/s11868-019-00289-z'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11868-019-00289-z'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11868-019-00289-z'


     

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

    116 TRIPLES      21 PREDICATES      41 URIs      16 LITERALS      5 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s11868-019-00289-z schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author Neb8be65c6c9a4bb0865bcc1e42f68cbc
    4 schema:citation sg:pub.10.1007/s00205-013-0670-4
    5 sg:pub.10.1007/s11868-017-0207-y
    6 https://doi.org/10.1016/j.crma.2014.04.007
    7 https://doi.org/10.1016/j.jfa.2013.06.006
    8 https://doi.org/10.1016/j.jmaa.2007.12.077
    9 https://doi.org/10.1016/j.nonrwa.2008.07.010
    10 https://doi.org/10.1016/s0022-1236(03)00194-0
    11 https://doi.org/10.1016/s0764-4442(97)80053-5
    12 https://doi.org/10.1017/s0308210500023325
    13 https://doi.org/10.1080/00036811.2016.1248422
    14 https://doi.org/10.1080/03605309108820822
    15 https://doi.org/10.1155/2011/901084
    16 https://doi.org/10.3792/pja/1195518695
    17 https://doi.org/10.3934/cpaa.2011.10.1617
    18 https://doi.org/10.4064/sm200-1-3
    19 https://doi.org/10.4171/rmi/143
    20 https://doi.org/10.4310/dpde.2012.v9.n3.a3
    21 schema:datePublished 2019-03-27
    22 schema:datePublishedReg 2019-03-27
    23 schema:description We extend results obtained by Francfort (An introduction to H-measures and their applications. Variational problems in materials science. Birkhäuser, Basel, pp 85–110, 2006) to parabolic H-measures developed by Antonić and Lazar (J Funct Anal 265:1190–1239, 2013). The well known theory of pseudodifferential operators is extended to parabolic classes of symbols and operators and used to obtain results applicable to a wide class of partial differential equations. The main result is the propagation principle which is then applied to the Schrödinger equation and the vibrating plate equation.
    24 schema:genre research_article
    25 schema:inLanguage en
    26 schema:isAccessibleForFree false
    27 schema:isPartOf sg:journal.1136558
    28 schema:name Propagation principle for parabolic H-measures
    29 schema:pagination 1-23
    30 schema:productId N5088f2c72dd243739d17fdf2148a71ad
    31 N563125de06f644f8b9f37af5cc57da1c
    32 N968346b8d94b4f5988b354e7cd1a0071
    33 schema:sameAs https://app.dimensions.ai/details/publication/pub.1113048712
    34 https://doi.org/10.1007/s11868-019-00289-z
    35 schema:sdDatePublished 2019-04-11T13:20
    36 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    37 schema:sdPublisher N353cf49a6c4d47eaafc61797b309f171
    38 schema:url https://link.springer.com/10.1007%2Fs11868-019-00289-z
    39 sgo:license sg:explorer/license/
    40 sgo:sdDataset articles
    41 rdf:type schema:ScholarlyArticle
    42 N353cf49a6c4d47eaafc61797b309f171 schema:name Springer Nature - SN SciGraph project
    43 rdf:type schema:Organization
    44 N5088f2c72dd243739d17fdf2148a71ad schema:name dimensions_id
    45 schema:value pub.1113048712
    46 rdf:type schema:PropertyValue
    47 N563125de06f644f8b9f37af5cc57da1c schema:name readcube_id
    48 schema:value e6a7c45aa1cbf2e97416d9a5c1432d08d2dd2679f55d99e2a6552ccab75df9ec
    49 rdf:type schema:PropertyValue
    50 N65d96a1ad965474097f17d2d27b2ad74 schema:affiliation https://www.grid.ac/institutes/grid.445423.0
    51 schema:familyName Lazar
    52 schema:givenName Martin
    53 rdf:type schema:Person
    54 N6dcf3747271f4df49b3d446e2109ced0 schema:affiliation https://www.grid.ac/institutes/grid.4808.4
    55 schema:familyName Ivec
    56 schema:givenName Ivan
    57 rdf:type schema:Person
    58 N968346b8d94b4f5988b354e7cd1a0071 schema:name doi
    59 schema:value 10.1007/s11868-019-00289-z
    60 rdf:type schema:PropertyValue
    61 Nbb4a4adae55c4090b03b7b1cf2396121 rdf:first N65d96a1ad965474097f17d2d27b2ad74
    62 rdf:rest rdf:nil
    63 Neb8be65c6c9a4bb0865bcc1e42f68cbc rdf:first N6dcf3747271f4df49b3d446e2109ced0
    64 rdf:rest Nbb4a4adae55c4090b03b7b1cf2396121
    65 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    66 schema:name Mathematical Sciences
    67 rdf:type schema:DefinedTerm
    68 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    69 schema:name Pure Mathematics
    70 rdf:type schema:DefinedTerm
    71 sg:journal.1136558 schema:issn 1662-9981
    72 1662-999X
    73 schema:name Journal of Pseudo-Differential Operators and Applications
    74 rdf:type schema:Periodical
    75 sg:pub.10.1007/s00205-013-0670-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053518066
    76 https://doi.org/10.1007/s00205-013-0670-4
    77 rdf:type schema:CreativeWork
    78 sg:pub.10.1007/s11868-017-0207-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1085073693
    79 https://doi.org/10.1007/s11868-017-0207-y
    80 rdf:type schema:CreativeWork
    81 https://doi.org/10.1016/j.crma.2014.04.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024507471
    82 rdf:type schema:CreativeWork
    83 https://doi.org/10.1016/j.jfa.2013.06.006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003062744
    84 rdf:type schema:CreativeWork
    85 https://doi.org/10.1016/j.jmaa.2007.12.077 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025629115
    86 rdf:type schema:CreativeWork
    87 https://doi.org/10.1016/j.nonrwa.2008.07.010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043410349
    88 rdf:type schema:CreativeWork
    89 https://doi.org/10.1016/s0022-1236(03)00194-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011062540
    90 rdf:type schema:CreativeWork
    91 https://doi.org/10.1016/s0764-4442(97)80053-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005838290
    92 rdf:type schema:CreativeWork
    93 https://doi.org/10.1017/s0308210500023325 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054894015
    94 rdf:type schema:CreativeWork
    95 https://doi.org/10.1080/00036811.2016.1248422 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049156092
    96 rdf:type schema:CreativeWork
    97 https://doi.org/10.1080/03605309108820822 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022528357
    98 rdf:type schema:CreativeWork
    99 https://doi.org/10.1155/2011/901084 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035722565
    100 rdf:type schema:CreativeWork
    101 https://doi.org/10.3792/pja/1195518695 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071427391
    102 rdf:type schema:CreativeWork
    103 https://doi.org/10.3934/cpaa.2011.10.1617 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071731755
    104 rdf:type schema:CreativeWork
    105 https://doi.org/10.4064/sm200-1-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072185108
    106 rdf:type schema:CreativeWork
    107 https://doi.org/10.4171/rmi/143 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072320417
    108 rdf:type schema:CreativeWork
    109 https://doi.org/10.4310/dpde.2012.v9.n3.a3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072459723
    110 rdf:type schema:CreativeWork
    111 https://www.grid.ac/institutes/grid.445423.0 schema:alternateName University of Dubrovnik
    112 schema:name University of Dubrovnik, Ćira Carića 4, Dubrovnik, Croatia
    113 rdf:type schema:Organization
    114 https://www.grid.ac/institutes/grid.4808.4 schema:alternateName University of Zagreb
    115 schema:name Faculty of Metallurgy, University of Zagreb, Aleja narodnih heroja 3, Sisak, Croatia
    116 rdf:type schema:Organization
     




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


    ...