Ontology type: schema:ScholarlyArticle Open Access: True
2019-03
AUTHORS ABSTRACTWe are interested in an inverse medium problem with internal data. This problem is originated from multi-waves imaging. We aim in the present work to study the well posedness of the inversion in terms of the boundary conditions. We precisely show that we have actually a stability estimate of Hölder type. For sake of simplicity, we limited our study to the class of Helmholtz equations Δ+V with bounded potential V. More... »
PAGES9
http://scigraph.springernature.com/pub.10.1007/s40687-018-0171-z
DOIhttp://dx.doi.org/10.1007/s40687-018-0171-z
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1110370930
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/2008/0299",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Other Physical Sciences",
"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": "Institut \u00c9lie Cartan de Lorraine",
"id": "https://www.grid.ac/institutes/grid.462063.5",
"name": [
"IECL, UMR CNRS 7502, Universit\u00e9 de Lorraine, Boulevard des Aiguillettes, Vandoeuvre Les, Nancy cedex-Ile du Saulcy, BP 70239 54506, 57 045, Metz Cedex 01, France"
],
"type": "Organization"
},
"familyName": "Choulli",
"givenName": "Mourad",
"id": "sg:person.010405231426.52",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010405231426.52"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Grenoble Alpes University",
"id": "https://www.grid.ac/institutes/grid.450307.5",
"name": [
"Laboratoire Jean Kuntzmann, UMR CNRS 5224, Universit\u00e9 Grenoble-Alpes, 700 Avenue Centrale, 38401, Saint-Martin-d\u2019H\u00e8res, France"
],
"type": "Organization"
},
"familyName": "Triki",
"givenName": "Faouzi",
"id": "sg:person.015340064127.37",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015340064127.37"
],
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1088/0266-5611/25/12/123004",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1000647724"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1088/0266-5611/25/12/123004",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1000647724"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s10231-016-0577-4",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1009531723",
"https://doi.org/10.1007/s10231-016-0577-4"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/cpa.21453",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1012328662"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11117-014-0319-z",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1020500119",
"https://doi.org/10.1007/s11117-014-0319-z"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1080/03605302.2013.803483",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1022692344"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/cpa.3160400305",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023516449"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/cpa.3160400305",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1023516449"
],
"type": "CreativeWork"
},
{
"id": "https://app.dimensions.ai/details/publication/pub.1035993833",
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/3-540-37689-5",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1035993833",
"https://doi.org/10.1007/3-540-37689-5"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/3-540-37689-5",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1035993833",
"https://doi.org/10.1007/3-540-37689-5"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1088/0266-5611/30/7/075008",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1042937312"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.104.043902",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060756533"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.104.043902",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060756533"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/070686408",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062851051"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/110828241",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062864746"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1137/140988577",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062872820"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/conm/559/11069",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1089199768"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.matpur.2017.12.003",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1099634239"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s00028-018-0476-9",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1107739750",
"https://doi.org/10.1007/s00028-018-0476-9"
],
"type": "CreativeWork"
}
],
"datePublished": "2019-03",
"datePublishedReg": "2019-03-01",
"description": "We are interested in an inverse medium problem with internal data. This problem is originated from multi-waves imaging. We aim in the present work to study the well posedness of the inversion in terms of the boundary conditions. We precisely show that we have actually a stability estimate of H\u00f6lder type. For sake of simplicity, we limited our study to the class of Helmholtz equations \u0394+V with bounded potential V.",
"genre": "research_article",
"id": "sg:pub.10.1007/s40687-018-0171-z",
"inLanguage": [
"en"
],
"isAccessibleForFree": true,
"isPartOf": [
{
"id": "sg:journal.1279251",
"issn": [
"2522-0144",
"2197-9847"
],
"name": "Research in the Mathematical Sciences",
"type": "Periodical"
},
{
"issueNumber": "1",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "6"
}
],
"name": "H\u00f6lder stability for an inverse medium problem with internal data",
"pagination": "9",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"10ef528a150b6e109f97fec9696ab4dd08919cb237ca7a535bc4070f9ee228e7"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s40687-018-0171-z"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1110370930"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s40687-018-0171-z",
"https://app.dimensions.ai/details/publication/pub.1110370930"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T09:26",
"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/v90/0000000345_0000000345/records_64115_00000002.jsonl",
"type": "ScholarlyArticle",
"url": "https://link.springer.com/10.1007%2Fs40687-018-0171-z"
}
]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/s40687-018-0171-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/s40687-018-0171-z'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s40687-018-0171-z'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s40687-018-0171-z'
This table displays all metadata directly associated to this object as RDF triples.
122 TRIPLES
21 PREDICATES
43 URIs
19 LITERALS
7 BLANK NODES