Boundary Value Problems of Mathematical Physics in Thin Domains
Identifieur interne : 000369 ( Istex/Corpus ); précédent : 000368; suivant : 000370Boundary Value Problems of Mathematical Physics in Thin Domains
Auteurs : Vladimir Maz A ; Serguei Nazarov ; Boris A. PlamenevskijSource :
- Operator Theory ; 2000.
Abstract
Abstract: Chapters 15 and 16 are devoted to the asymptotics of solutions to elliptic boundary value problems in thin domains. Some dimensions of such a domain are negligibly small in comparison with the others. In this chapter we consider a number of problems in mathematical physics. The general boundary value problems are studied in the next chapter.
Url:
DOI: 10.1007/978-3-0348-8432-7_5
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DisplayOrder="Western"><GivenName>Boris</GivenName><GivenName>A.</GivenName><FamilyName>Plamenevskij</FamilyName></AuthorName><Contact><Email>Boris.Plamenevskij@pobox.spbu.ru</Email></Contact></Author><Affiliation ID="Aff5"><OrgDivision>Department of Mathematics</OrgDivision><OrgName>Linköping University</OrgName><OrgAddress><Postcode>58183</Postcode><City>Linköping</City><Country>Sweden</Country></OrgAddress></Affiliation><Affiliation ID="Aff6"><OrgDivision>Laboratory of Mathematical Methods in Mechanics of Solids Institute of Mathematics and Mechanics</OrgDivision><OrgName>St. Petersburg University</OrgName><OrgAddress><Street>Bibliotechnaya pl. 2</Street><Postcode>198904</Postcode><City>St. Petersburg</City><Country>Russia</Country></OrgAddress></Affiliation><Affiliation ID="Aff7"><OrgDivision>Department of Mathematical Physics Faculty of Physics</OrgDivision><OrgName>St. Petersburg State University</OrgName><OrgAddress><Street>Ulyanova 1 Stary Petershof</Street><Postcode>198904</Postcode><City>St. Petersburg</City><Country>Russia</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En" OutputMedium="Online"><Heading>Abstract</Heading><Para TextBreak="No">Chapters 15 and 16 are devoted to the asymptotics of solutions to elliptic boundary value problems in thin domains. Some dimensions of such a domain are negligibly small in comparison with the others. In this chapter we consider a number of problems in mathematical physics. The general boundary value problems are studied in the next chapter.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Boundary Value Problems of Mathematical Physics in Thin Domains</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Boundary Value Problems of Mathematical Physics in Thin Domains</title></titleInfo><name type="personal"><namePart type="given">Vladimir</namePart><namePart type="family">Maz’ya</namePart><affiliation>Department of Mathematics, Linköping University, 58183, Linköping, Sweden</affiliation><affiliation>E-mail: vlmaz@mai.liu.se</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Serguei</namePart><namePart type="family">Nazarov</namePart><affiliation>Laboratory of Mathematical Methods in Mechanics of Solids Institute of Mathematics and Mechanics, St. Petersburg University, Bibliotechnaya pl. 2, 198904, St. Petersburg, Russia</affiliation><affiliation>E-mail: serna@snark.ipme.ru</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Boris</namePart><namePart type="given">A.</namePart><namePart type="family">Plamenevskij</namePart><affiliation>Department of Mathematical Physics Faculty of Physics, St. Petersburg State University, Ulyanova 1 Stary Petershof, 198904, St. Petersburg, Russia</affiliation><affiliation>E-mail: Boris.Plamenevskij@pobox.spbu.ru</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="research-article" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Birkhäuser Basel</publisher><place><placeTerm type="text">Basel</placeTerm></place><dateIssued encoding="w3cdtf">2000</dateIssued><dateIssued encoding="w3cdtf">2000</dateIssued><copyrightDate encoding="w3cdtf">2000</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: Chapters 15 and 16 are devoted to the asymptotics of solutions to elliptic boundary value problems in thin domains. Some dimensions of such a domain are negligibly small in comparison with the others. In this chapter we consider a number of problems in mathematical physics. The general boundary value problems are studied in the next chapter.</abstract><relatedItem type="host"><titleInfo><title>Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains</title><subTitle>Volume II</subTitle></titleInfo><name type="personal"><namePart type="given">Vladimir</namePart><namePart type="family">Maz’ya</namePart><affiliation>Department of Mathematics, Linköping University, 58183, Linköping, Sweden</affiliation><affiliation>E-mail: vlmaz@mai.liu.se</affiliation></name><name type="personal"><namePart type="given">Serguei</namePart><namePart type="family">Nazarov</namePart><affiliation>Laboratory of Mathematical Methods in Mechanics of Solids Institute of Mathematics and Mechanics, St. Petersburg University, Bibliotechnaya pl. 2, 198904, St. Petersburg, Russia</affiliation><affiliation>E-mail: serna@snark.ipme.ru</affiliation></name><name type="personal"><namePart type="given">Boris</namePart><namePart type="given">A.</namePart><namePart type="family">Plamenevskij</namePart><affiliation>Department of Mathematical Physics Faculty of Physics, St. Petersburg State University, Ulyanova 1 Stary Petershof, 198904, St. Petersburg, Russia</affiliation><affiliation>E-mail: Boris.Plamenevskij@pobox.spbu.ru</affiliation></name><genre type="book-series" displayLabel="Monograph" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0G6R5W5T-Z">book-series</genre><originInfo><publisher>Springer</publisher><copyrightDate encoding="w3cdtf">2000</copyrightDate><issuance>monographic</issuance></originInfo><subject><genre>Book-Subject-Collection</genre><topic authority="SpringerSubjectCodes" authorityURI="SUCO11649">Mathematics and Statistics</topic></subject><subject><genre>Book-Subject-Group</genre><topic authority="SpringerSubjectCodes" authorityURI="SCM">Mathematics</topic><topic authority="SpringerSubjectCodes" authorityURI="SCM12007">Analysis</topic></subject><identifier type="DOI">10.1007/978-3-0348-8432-7</identifier><identifier type="ISBN">978-3-0348-9564-4</identifier><identifier type="eISBN">978-3-0348-8432-7</identifier><identifier type="BookTitleID">62548</identifier><identifier type="BookID">978-3-0348-8432-7</identifier><identifier type="BookChapterCount">10</identifier><identifier type="BookVolumeNumber">112</identifier><identifier type="BookSequenceNumber">116</identifier><identifier type="PartChapterCount">3</identifier><part><date>2000</date><detail type="part"><title>Part VI: Behaviour of Solutions of Boundary Value Problems in Thin Domains</title></detail><detail type="volume"><number>112</number><caption>vol.</caption></detail><detail type="chapter"><number>Chapter 15</number></detail><extent unit="pages"><start>131</start><end>170</end></extent></part><recordInfo><recordOrigin>Birkhäuser Verlag, 2000</recordOrigin></recordInfo></relatedItem><relatedItem type="series"><titleInfo><title>Operator Theory</title><subTitle>Advances and Applications</subTitle></titleInfo><name type="personal"><namePart type="given">I.</namePart><namePart type="family">Gohberg</namePart><affiliation>School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><originInfo><publisher>Springer</publisher><copyrightDate encoding="w3cdtf">2000</copyrightDate><issuance>serial</issuance></originInfo><identifier type="SeriesID">4850</identifier><part><detail type="volume"><number>Part VI</number><caption>vol.</caption></detail><detail type="chapter"><number>Chapter 15</number></detail></part><recordInfo><recordOrigin>Birkhäuser Verlag, 2000</recordOrigin></recordInfo></relatedItem><identifier type="istex">717EF5EE0F5D7B54F25C07C40CEFFEC6FE8124BE</identifier><identifier type="ark">ark:/67375/HCB-F6ZC3JKH-5</identifier><identifier type="DOI">10.1007/978-3-0348-8432-7_5</identifier><identifier type="ChapterID">5</identifier><identifier type="ChapterID">Chap5</identifier><accessCondition type="use and reproduction" contentType="copyright">Birkhäuser Verlag, 2000</accessCondition><recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</recordContentSource><recordOrigin>Springer Basel AG, 2000</recordOrigin></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/document/717EF5EE0F5D7B54F25C07C40CEFFEC6FE8124BE/metadata/json</uri></json:item></metadata><annexes><json:item><extension>txt</extension><original>true</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/document/717EF5EE0F5D7B54F25C07C40CEFFEC6FE8124BE/annexes/txt</uri></json:item></annexes></istex></record>Pour manipuler ce document sous Unix (Dilib)
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