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dc.contributor.authorSugiyama, Yuusukeen
dc.contributor.alternativeスギヤマ, ユウスケja
dc.contributor.transcriptionスギヤマ, ユウスケja-Kana
dc.date.accessioned2019-08-26T00:29:56Z-
dc.date.available2019-08-26T00:29:56Z-
dc.date.issued2017-05-
dc.identifier.issn1881-6193-
dc.identifier.urihttp://hdl.handle.net/2433/243652-
dc.description"Regularity and Singularity for Partial Differential Equations with Conservation Laws". June 3~5, 2015. edited by Keiichi Kato, Mishio Kawashita, Masashi Misawa and Takayoshi Ogawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.en
dc.description.abstractThis note is a survey of [17]. We consider the large time behavior of solutions of the Cauchy problem of the quasilinear wave equation: ∂2 t u = ∂x((1 + u)2a∂xu), which describes shearing-motion in elastic-plastic rod. If 1+u(0, x) is bounded away from a positive constant, we can construct a local solution for smooth initial data. When 1+u(t, x) is going to 0 in finite time, the equation degenerates. We give a sufficient condition that the equation degenerates in finite time.en
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherResearch Institute for Mathematical Sciences, Kyoto Universityen
dc.publisher.alternative京都大学数理解析研究所ja
dc.rights© 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.en
dc.subject35L72en
dc.subject35L65en
dc.subject35B99en
dc.subject.ndc410-
dc.titleLarge time behavior of solutions to 1D quasilinear wave equations (Regularity and Singularity for Partial Differential Equations with Conservation Laws)en
dc.typedepartmental bulletin paper-
dc.type.niitypeDepartmental Bulletin Paper-
dc.identifier.ncidAA12196120-
dc.identifier.jtitle数理解析研究所講究録別冊ja
dc.identifier.volumeB63-
dc.identifier.spage115-
dc.identifier.epage125-
dc.textversionpublisher-
dc.sortkey08-
dc.addressDepartment of Mathematics, Tokyo University of Scienceen
dcterms.accessRightsopen access-
dc.identifier.pissn1881-6193-
dc.identifier.jtitle-alternativeRIMS Kokyuroku Bessatsuen
出現コレクション:B63 Regularity and Singularity for Partial Differential Equations with Conservation Laws

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