SOLVABILITY OF SOME INTEGRO-DIFFERENTIAL EQUATIONS WITH DRIFT

Efendiev, Messoud; Vougalter, Vitali

doi:https://doi.org/10.18910/75913

SOLVABILITY OF SOME INTEGRO-DIFFERENTIAL EQUATIONS WITH DRIFT

Efendiev, Messoud; Vougalter, Vitali

Osaka Journal of Mathematics, 2020, 57(2), 247-265

アクセス数:197件（2025-07-15 08:09 集計）

固定URL: https://doi.org/10.18910/75913

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タイトル	SOLVABILITY OF SOME INTEGRO-DIFFERENTIAL EQUATIONS WITH DRIFT
著者	著者名 Efendiev, Messoud
著者	著者名 Vougalter, Vitali
抄録	We prove the existence in the sense of sequences of solutions for some integro-differential type equations involving the drift term in the appropriate H² spaces using the fixed point technique when the elliptic problems contain second order differential operators with and without Fredholm property. It is shown that, under the reasonable technical conditions, the convergence in L¹ of the integral kernels yields the existence and convergence in H² of solutions.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(2)
ページ	247-265
刊行年月	2020-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/75913
DOI	https://doi.org/10.18910/75913
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 57, Number 2 （2020-4）

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. 2020, 57(2), p. 247-265
DC.title	SOLVABILITY OF SOME INTEGRO-DIFFERENTIAL EQUATIONS WITH DRIFT
DC.creator	Efendiev, Messoud
DC.creator	Vougalter, Vitali
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	2020-04
DCTERMS.abstract	We prove the existence in the sense of sequences of solutions for some integro-differential type equations involving the drift term in the appropriate H² spaces using the fixed point technique when the elliptic problems contain second order differential operators with and without Fredholm property. It is shown that, under the reasonable technical conditions, the convergence in L¹ of the integral kernels yields the existence and convergence in H² of solutions.
DC.identifier	10.18910/75913
DC.format	75913
citation_title	SOLVABILITY OF SOME INTEGRO-DIFFERENTIAL EQUATIONS WITH DRIFT
citation_author	Efendiev, Messoud
citation_author	Vougalter, Vitali
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	2
citation_firstpage	247
citation_lastpage	265
citation_public_url	https://hdl.handle.net/11094/75913
citation_doi_detail	10.18910/75913
citation_doi	https://doi.org/10.18910/75913

SOLVABILITY OF SOME INTEGRO-DIFFERENTIAL EQUATIONS WITH DRIFT

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