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

Mezeghrani, Fatima Zohra

doi:info:doi/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	Mezeghrani, Fatima Zohra 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	50
号	3
開始ページ	725
終了ページ	747
刊行年月	2013-09
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/26010
言語	英語
DOI	info:doi/10.18910/26010
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）

著者版フラグ	publisher
NII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.50(3) P.725-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2013-09
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/26010
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	info:doi/10.18910/26010
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/26010
citation_doi	info:doi/10.18910/26010

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