NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY AND MAXIMAL REGULARITY OF ABSTRACT DIFFERENTIAL EQUATIONS OF MIXED TYPE IN HÖLDER SPACES

Mezeghrani, Fatima Zohra

doi:https://doi.org/10.18910/26010

NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY AND MAXIMAL REGULARITY OF ABSTRACT DIFFERENTIAL EQUATIONS OF MIXED TYPE IN HÖLDER SPACES

Mezeghrani, Fatima Zohra

Osaka Journal of Mathematics, 2013, 50(3), 725-747

アクセス数:138件（2025-07-16 05:10 集計）

固定URL: https://doi.org/10.18910/26010

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タイトル	NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY AND MAXIMAL REGULARITY OF ABSTRACT DIFFERENTIAL EQUATIONS OF MIXED TYPE IN HÖLDER SPACES
著者	著者名 Mezeghrani, Fatima Zohra
抄録	In this paper we study and obtain some necessary and sufficient conditions on the data for the existence, uniqueness of the strict solution and maximal regularity for some second-order differential equations with mixed boundary conditions whose forcing term belongs to Hölder continuous spaces. A few illustrative examples related to the interpolation theory are discussed.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(3)
ページ	725-747
刊行年月	2013-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/26010
DOI	https://doi.org/10.18910/26010
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 50, Number 3　(2013-9）

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. 2013, 50(3), p. 725-747
DC.title	NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY AND MAXIMAL REGULARITY OF ABSTRACT DIFFERENTIAL EQUATIONS OF MIXED TYPE IN HÖLDER SPACES
DC.creator	Mezeghrani, Fatima Zohra
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-09
DCTERMS.abstract	In this paper we study and obtain some necessary and sufficient conditions on the data for the existence, uniqueness of the strict solution and maximal regularity for some second-order differential equations with mixed boundary conditions whose forcing term belongs to Hölder continuous spaces. A few illustrative examples related to the interpolation theory are discussed.
DC.identifier	10.18910/26010
DC.format	26010
citation_title	NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY AND MAXIMAL REGULARITY OF ABSTRACT DIFFERENTIAL EQUATIONS OF MIXED TYPE IN HÖLDER SPACES
citation_author	Mezeghrani, Fatima Zohra
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-09
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	3
citation_firstpage	725
citation_lastpage	747
citation_public_url	https://hdl.handle.net/11094/26010
citation_doi_detail	10.18910/26010
citation_doi	https://doi.org/10.18910/26010

NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY AND MAXIMAL REGULARITY OF ABSTRACT DIFFERENTIAL EQUATIONS OF MIXED TYPE IN HÖLDER SPACES

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