Ontology type: schema:ScholarlyArticle Open Access: True
2007-04
AUTHORSA. Alexandrou Himonas, Gerard Misiołek, Gustavo Ponce, Yong Zhou
ABSTRACTIt is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time. In particular, a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution. More... »
PAGES511-522
http://scigraph.springernature.com/pub.10.1007/s00220-006-0172-4
DOIhttp://dx.doi.org/10.1007/s00220-006-0172-4
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1045067492
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/2008/1114",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Paediatrics and Reproductive Medicine",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/11",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Medical and Health Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "University of Notre Dame",
"id": "https://www.grid.ac/institutes/grid.131063.6",
"name": [
"Department of Mathematics, University of Notre Dame, 46556, Notre Dame, IN, USA"
],
"type": "Organization"
},
"familyName": "Himonas",
"givenName": "A. Alexandrou",
"id": "sg:person.015112616555.48",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015112616555.48"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "University of Notre Dame",
"id": "https://www.grid.ac/institutes/grid.131063.6",
"name": [
"Department of Mathematics, University of Notre Dame, 46556, Notre Dame, IN, USA"
],
"type": "Organization"
},
"familyName": "Misio\u0142ek",
"givenName": "Gerard",
"id": "sg:person.0624512634.61",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0624512634.61"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "University of California, Santa Barbara",
"id": "https://www.grid.ac/institutes/grid.133342.4",
"name": [
"Department of Mathematics, University of California, 93106, Santa Barbara, CA, USA"
],
"type": "Organization"
},
"familyName": "Ponce",
"givenName": "Gustavo",
"id": "sg:person.011310113454.49",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011310113454.49"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "East China Normal University",
"id": "https://www.grid.ac/institutes/grid.22069.3f",
"name": [
"Department of Mathematics, East China Normal University, 200062, Shangai, China",
"Institute des Hautes \u00c9udes Scientifiques, 35, route de Chartres, F-91440, Bures-sur-Yvette, France"
],
"type": "Organization"
},
"familyName": "Zhou",
"givenName": "Yong",
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.2991/jnmp.2005.12.3.3",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1004396295"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/(sici)1097-0312(200005)53:5<603::aid-cpa3>3.0.co;2-l",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1005805952"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/(sici)1097-0312(200005)53:5<603::aid-cpa3>3.0.co;2-l",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1005805952"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/(sici)1097-0312(199908)52:8<949::aid-cpa3>3.0.co;2-d",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1018982770"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/pl00012648",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1021747716",
"https://doi.org/10.1007/pl00012648"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1080/03605300500530446",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023144101"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2991/jnmp.2004.11.4.8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1027676610"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0167-2789(81)90004-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1030122039"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0167-2789(81)90004-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1030122039"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/s0362-546x(01)00791-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1032673547"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1006/jdeq.1999.3683",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1034297292"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/cpa.20003",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1040095986"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1006/aima.1999.1883",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1040998910"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0167-2789(96)00048-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1042479221"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.71.1661",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1047267792"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.71.1661",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1047267792"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1063/1.1845603",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1057827178"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.4310/ajm.1998.v2.n4.a10",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1072456222"
],
"type": "CreativeWork"
}
],
"datePublished": "2007-04",
"datePublishedReg": "2007-04-01",
"description": "It is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time. In particular, a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution.",
"genre": "research_article",
"id": "sg:pub.10.1007/s00220-006-0172-4",
"inLanguage": [
"en"
],
"isAccessibleForFree": true,
"isPartOf": [
{
"id": "sg:journal.1136216",
"issn": [
"0010-3616",
"1432-0916"
],
"name": "Communications in Mathematical Physics",
"type": "Periodical"
},
{
"issueNumber": "2",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "271"
}
],
"name": "Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation",
"pagination": "511-522",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"d6abcc4f28a0cfb0f441338a1846ea092113734bc67970961574a6e58fd67da8"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s00220-006-0172-4"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1045067492"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s00220-006-0172-4",
"https://app.dimensions.ai/details/publication/pub.1045067492"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T14:26",
"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/v90/0000000373_0000000373/records_13069_00000001.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1007%2Fs00220-006-0172-4"
}
]
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/s00220-006-0172-4'
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/s00220-006-0172-4'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00220-006-0172-4'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00220-006-0172-4'
This table displays all metadata directly associated to this object as RDF triples.
134 TRIPLES
21 PREDICATES
42 URIs
19 LITERALS
7 BLANK NODES