WELL-POSEDNESS OF THE INITIAL BOUNDARY VALUE PROBLEM FOR DEGENERATE HYPERBOLIC SYSTEMS WITH A LOCALIZED TERM AND ITS APPLICATION TO THE LINEARIZED SYSTEM FOR THE MOTION OF AN INEXTENSIBLE HANGING STRING

Iguchi, Tatsuo; Takayama, Masahiro

doi:https://doi.org/10.18910/102976

WELL-POSEDNESS OF THE INITIAL BOUNDARY VALUE PROBLEM FOR DEGENERATE HYPERBOLIC SYSTEMS WITH A LOCALIZED TERM AND ITS APPLICATION TO THE LINEARIZED SYSTEM FOR THE MOTION OF AN INEXTENSIBLE HANGING STRING

Iguchi, Tatsuo; Takayama, Masahiro

Osaka Journal of Mathematics, 2025, 62(4), 507-538

アクセス数:50件（2026-02-16 09:57 集計）

固定URL: https://doi.org/10.18910/102976

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タイトル	WELL-POSEDNESS OF THE INITIAL BOUNDARY VALUE PROBLEM FOR DEGENERATE HYPERBOLIC SYSTEMS WITH A LOCALIZED TERM AND ITS APPLICATION TO THE LINEARIZED SYSTEM FOR THE MOTION OF AN INEXTENSIBLE HANGING STRING
著者	NRID 1000020294879 1000020294879 著者名 Iguchi, Tatsuo
著者	NRID 1000090338252 1000090338252 著者名 Takayama, Masahiro
抄録	Motivated by an analysis on the well-posedness of the initial boundary value problem for the motion of an inextensible hanging string, we first consider an initial boundary value problem for one-dimensional degenerate hyperbolic systems with a localized term and show its well-posedness in weighted Sobolev spaces. We then consider the linearized system for the motion of an inextensible hanging string. Well-posedness of its initial boundary value problem is demonstrated as an application of the result obtained in the first part.
出版者	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
収録物名	Osaka Journal of Mathematics
巻(号)	62(4)
ページ	507-538
刊行年月	2025-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/102976
DOI	https://doi.org/10.18910/102976
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 62, Number 4 （2025-09)

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2025, 62(4), p. 507-538
DC.title	WELL-POSEDNESS OF THE INITIAL BOUNDARY VALUE PROBLEM FOR DEGENERATE HYPERBOLIC SYSTEMS WITH A LOCALIZED TERM AND ITS APPLICATION TO THE LINEARIZED SYSTEM FOR THE MOTION OF AN INEXTENSIBLE HANGING STRING
DC.creator	Iguchi, Tatsuo
DC.creator	Takayama, Masahiro
DC.publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-10
DCTERMS.abstract	Motivated by an analysis on the well-posedness of the initial boundary value problem for the motion of an inextensible hanging string, we first consider an initial boundary value problem for one-dimensional degenerate hyperbolic systems with a localized term and show its well-posedness in weighted Sobolev spaces. We then consider the linearized system for the motion of an inextensible hanging string. Well-posedness of its initial boundary value problem is demonstrated as an application of the result obtained in the first part.
DC.identifier	10.18910/102976
DC.format	102976
citation_title	WELL-POSEDNESS OF THE INITIAL BOUNDARY VALUE PROBLEM FOR DEGENERATE HYPERBOLIC SYSTEMS WITH A LOCALIZED TERM AND ITS APPLICATION TO THE LINEARIZED SYSTEM FOR THE MOTION OF AN INEXTENSIBLE HANGING STRING
citation_author	Iguchi, Tatsuo
citation_author	Takayama, Masahiro
citation_publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
citation_language	英語
citation_date	2025-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	4
citation_firstpage	507
citation_lastpage	538
citation_public_url	https://hdl.handle.net/11094/102976
citation_doi_detail	10.18910/102976
citation_doi	https://doi.org/10.18910/102976

WELL-POSEDNESS OF THE INITIAL BOUNDARY VALUE PROBLEM FOR DEGENERATE HYPERBOLIC SYSTEMS WITH A LOCALIZED TERM AND ITS APPLICATION TO THE LINEARIZED SYSTEM FOR THE MOTION OF AN INEXTENSIBLE HANGING STRING

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