NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES

Favini, Angelo; Labbas, Rabah; Maingot, Stéphane; Tanabe, Hiroki; Yagi, Atsushi

doi:https://doi.org/10.3934/dcds.2008.22.973

NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES

Favini, Angelo; Labbas, Rabah; Maingot, Stéphane et al.

Discrete and Continuous Dynamical Systems - Series A, 2008, 22(4), 973-987

アクセス数:510件（2026-02-16 07:17 集計）

固定URL: https://hdl.handle.net/11094/24742

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タイトル	NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES
著者	著者名 Favini, Angelo
	著者名 Labbas, Rabah
	著者名 Maingot, Stéphane
	NRID 1000070028083 1000070028083 著者名 Tanabe, Hiroki
	NRID 1000070116119 1000070116119 著者名 Yagi, Atsushi
キーワード等	Second order abstract differential equation
	Boundary condition
	Analytic semigroup
	Maximal regularity
	Elliptic equation
	Hölderian regularity
抄録	In this paper we give new results on complete abstract second order differential equations of elliptic type in the framework of H ölder spaces, extending those given in [4] and [5]. More precisely we study u”+2Bu’+Au = f in the case when f is Hölder continuous and under some natural assumptions on the operators A and B. We give necessary and sufficient conditions of compatibility to obtain a strict solution u and also to ensure that the strict solution has the maximal regularity property.
出版者	American Institute of Mathematical Science
収録物名	Discrete and Continuous Dynamical Systems - Series A
巻(号)	22(4)
ページ	973-987
刊行年月	2008-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24742
PISSN	10780947
NCID	AA11026216
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.3934/dcds.2008.22.973
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	Discrete and Continuous Dynamical Systems - Series A. 2008, 22(4), p. 973-987
DC.title	NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES
DC.creator	Favini, Angelo
	Labbas, Rabah
	Maingot, Stéphane
	Tanabe, Hiroki
	Yagi, Atsushi
DC.publisher	American Institute of Mathematical Science
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2008-12
DC.identifier	https://doi.org/10.3934/dcds.2008.22.973
DC.subject	Second order abstract differential equation
	Boundary condition
	Analytic semigroup
	Maximal regularity
	Elliptic equation
	Hölderian regularity
DCTERMS.abstract	In this paper we give new results on complete abstract second order differential equations of elliptic type in the framework of H ölder spaces, extending those given in [4] and [5]. More precisely we study u”+2Bu’+Au = f in the case when f is Hölder continuous and under some natural assumptions on the operators A and B. We give necessary and sufficient conditions of compatibility to obtain a strict solution u and also to ensure that the strict solution has the maximal regularity property.
DC.format	24742
citation_title	NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES
citation_author	Favini, Angelo
	Labbas, Rabah
	Maingot, Stéphane
	Tanabe, Hiroki
	Yagi, Atsushi
citation_publisher	American Institute of Mathematical Science
citation_language	英語
citation_date	2008-12
citation_journal_title	Discrete and Continuous Dynamical Systems - Series A
citation_volume	22
citation_issue	4
citation_firstpage	973
citation_lastpage	987
citation_doi	https://doi.org/10.3934/dcds.2008.22.973
citation_public_url	https://hdl.handle.net/11094/24742

NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES

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