Ontology type: schema:ScholarlyArticle Open Access: True
2018-07
AUTHORSClaudio Muñoz, Felipe Poblete, Juan C. Pozo
ABSTRACTIn this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly proper subsets of the space-time light cone. Our result does not require any assumption on the power of the nonlinearity, working even for the supercritical range of scattering. For the proof, we use two new Virial identities in the spirit of works (Kowalczyk et al. in J Am Math Soc 30:769–798, 2017; Kowalczyk et al. in Lett Math Phys 107(5):921–931, 2017). No parity assumption on the initial data is needed. More... »
PAGES127-141
http://scigraph.springernature.com/pub.10.1007/s00220-018-3099-7
DOIhttp://dx.doi.org/10.1007/s00220-018-3099-7
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1100712355
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/2008/0202",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Physical Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"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"
},
{
"affiliation": {
"alternateName": "Austral University of Chile",
"id": "https://www.grid.ac/institutes/grid.7119.e",
"name": [
"Facultad de Ciencias, Instituto de Ciencias F\u00edsicas y Matem\u00e1ticas, Universidad Austral de Chile, Valdivia, Chile"
],
"type": "Organization"
},
"familyName": "Poblete",
"givenName": "Felipe",
"id": "sg:person.011451012444.71",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011451012444.71"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "University of La Frontera",
"id": "https://www.grid.ac/institutes/grid.412163.3",
"name": [
"Departamento de Matem\u00e1tica y Estad\u00edstica, Facultad de Ciencias, Universidad de La Frontera, Casilla 54-D, Temuco, Chile"
],
"type": "Organization"
},
"familyName": "Pozo",
"givenName": "Juan C.",
"id": "sg:person.015006073505.57",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015006073505.57"
],
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1016/0362-546x(94)00236-b",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1002842529"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01218475",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004654010",
"https://doi.org/10.1007/bf01218475"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01218475",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004654010",
"https://doi.org/10.1007/bf01218475"
],
"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/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": "https://doi.org/10.1006/jfan.1996.3052",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1011213564"
],
"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/bf01053535",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1024029299",
"https://doi.org/10.1007/bf01053535"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1080/03605300802682283",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1027247904"
],
"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": "sg:pub.10.1007/s002050100138",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1034575776",
"https://doi.org/10.1007/s002050100138"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.jde.2007.06.001",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1037131631"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11005-016-0930-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1038056264",
"https://doi.org/10.1007/s11005-016-0930-y"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11005-016-0930-y",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1038056264",
"https://doi.org/10.1007/s11005-016-0930-y"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1006/jdeq.1993.1108",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1039975713"
],
"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": "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/10.1017/s0022112064001355",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1054057130"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1017/s0022112064001355",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1054057130"
],
"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/s0002-9939-09-10142-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1059332524"
],
"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/10.1142/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/10.3934/dcds.2007.17.691",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1071733460"
],
"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/10.1016/j.jmaa.2017.04.056",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1085116064"
],
"type": "CreativeWork"
}
],
"datePublished": "2018-07",
"datePublishedReg": "2018-07-01",
"description": "In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly proper subsets of the space-time light cone. Our result does not require any assumption on the power of the nonlinearity, working even for the supercritical range of scattering. For the proof, we use two new Virial identities in the spirit of works (Kowalczyk et al. in J Am Math Soc 30:769\u2013798, 2017; Kowalczyk et al. in Lett Math Phys 107(5):921\u2013931, 2017). No parity assumption on the initial data is needed.",
"genre": "research_article",
"id": "sg:pub.10.1007/s00220-018-3099-7",
"inLanguage": [
"en"
],
"isAccessibleForFree": true,
"isPartOf": [
{
"id": "sg:journal.1136216",
"issn": [
"0010-3616",
"1432-0916"
],
"name": "Communications in Mathematical Physics",
"type": "Periodical"
},
{
"issueNumber": "1",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "361"
}
],
"name": "Scattering in the Energy Space for Boussinesq Equations",
"pagination": "127-141",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"50e5d691e974d2f2d167fc3808c80ed7c7148deb6db45c50c7c2237f17d07264"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s00220-018-3099-7"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1100712355"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s00220-018-3099-7",
"https://app.dimensions.ai/details/publication/pub.1100712355"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-10T14:23",
"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/v90/0000000001_0000000264/records_8660_00000603.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1007/s00220-018-3099-7"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
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/s00220-018-3099-7'
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/s00220-018-3099-7'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00220-018-3099-7'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00220-018-3099-7'
This table displays all metadata directly associated to this object as RDF triples.
167 TRIPLES
21 PREDICATES
53 URIs
19 LITERALS
7 BLANK NODES