QUASILINEAR DEGENERATE EVOLUTION EQUATIONS IN BANACH SPACES

Favini, Angelo; Yagi, Atsushi

doi:https://doi.org/10.1007/s00028-004-0169-4

アクセス数:249件（2024-05-15 01:02 集計）

固定URL: https://hdl.handle.net/11094/24992

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タイトル	QUASILINEAR DEGENERATE EVOLUTION EQUATIONS IN BANACH SPACES
著者	著者名 Favini, Angelo
著者	NRID 1000070116119 1000070116119 著者名 Yagi, Atsushi
内容	This is the author-created version of Springer, Journal of Evolution Equations, Vol.4, No.3, 2004, 421-449. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/s00028-004-0169-4
抄録	The quasilinear degenerate evolution equation of parabolic type <d(Mυ)>/<dt> +L(Mυ) υ=F(Mυ), 0< t≤ T considered in a Banach space X is written, putting Mv = u, in the from <du>/<dt>+A(υ) υ∍F(υ), 0< t ≤ T, where A(υ)=L(υ)M＾<−1> are multivalued linear operators in X for υ ∈K, K being a bounded ball \|\|u\|\| Z <R in another Banach space Z continuously embedded in X. Existence and uniqueness of the local solution for the related Cauchy problem are given. The results are applied to quasilinear elliptic-parabolic equations and systems.
出版者	Birkhauser Verlag Basel
収録物名	Journal of Evolution Equations
巻(号)	4(3)
ページ	421-449
刊行年月	2004-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24992
PISSN	14243199
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.1007/s00028-004-0169-4
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Journal of Evolution Equations. 2004, 4(3), p. 421-449
DC.title	QUASILINEAR DEGENERATE EVOLUTION EQUATIONS IN BANACH SPACES
DC.creator	Favini, Angelo
DC.creator	Yagi, Atsushi
DC.publisher	Birkhauser Verlag Basel
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2004-09
DC.identifier	https://doi.org/10.1007/s00028-004-0169-4
DC.description	This is the author-created version of Springer, Journal of Evolution Equations, Vol.4, No.3, 2004, 421-449. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/s00028-004-0169-4
DCTERMS.abstract	The quasilinear degenerate evolution equation of parabolic type <d(Mυ)>/<dt> +L(Mυ) υ=F(Mυ), 0< t≤ T considered in a Banach space X is written, putting Mv = u, in the from <du>/<dt>+A(υ) υ∍F(υ), 0< t ≤ T, where A(υ)=L(υ)M＾<−1> are multivalued linear operators in X for υ ∈K, K being a bounded ball \|\|u\|\| Z <R in another Banach space Z continuously embedded in X. Existence and uniqueness of the local solution for the related Cauchy problem are given. The results are applied to quasilinear elliptic-parabolic equations and systems.
DC.format	24992
citation_title	QUASILINEAR DEGENERATE EVOLUTION EQUATIONS IN BANACH SPACES
citation_author	Favini, Angelo
citation_author	Yagi, Atsushi
citation_publisher	Birkhauser Verlag Basel
citation_language	英語
citation_date	2004-09
citation_journal_title	Journal of Evolution Equations
citation_volume	4
citation_issue	3
citation_firstpage	421
citation_lastpage	449
citation_doi	https://doi.org/10.1007/s00028-004-0169-4
citation_public_url	https://hdl.handle.net/11094/24992

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