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Maximal domains of solutions for analytic quasilinear differential equations of first order
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Han, Chong-Kyu | - |
dc.contributor.author | Kim, Taejung | - |
dc.date.accessioned | 2023-01-02T08:07:25Z | - |
dc.date.available | 2023-01-02T08:07:25Z | - |
dc.date.created | 2022-12-07 | - |
dc.date.issued | 2022-11 | - |
dc.identifier.citation | 대한수학회지, Vol.59 No.6, pp.1171-1184 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | https://hdl.handle.net/10371/188821 | - |
dc.description.abstract | We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equa-tions of first order for a scalar function. By making use of the first inte-grals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable. | - |
dc.language | 영어 | - |
dc.publisher | 대한수학회 | - |
dc.title | Maximal domains of solutions for analytic quasilinear differential equations of first order | - |
dc.type | Article | - |
dc.identifier.doi | 10.4134/JKMS.j220043 | - |
dc.citation.journaltitle | 대한수학회지 | - |
dc.identifier.wosid | 000885919200006 | - |
dc.identifier.scopusid | 2-s2.0-85141397936 | - |
dc.citation.endpage | 1184 | - |
dc.citation.number | 6 | - |
dc.citation.startpage | 1171 | - |
dc.citation.volume | 59 | - |
dc.identifier.kciid | ART002892519 | - |
dc.description.isOpenAccess | N | - |
dc.contributor.affiliatedAuthor | Han, Chong-Kyu | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
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