ON THE SOLVABILITY OF SOME SYSTEMS OF INTEGRO-DIFFERENTIAL EQUATIONS WITH THE DOUBLE SCALE ANOMALOUS DIFFUSION IN HIGHER DIMENSIONS

Vougalter, Vitali

doi:https://doi.org/10.18910/98472

ON THE SOLVABILITY OF SOME SYSTEMS OF INTEGRO-DIFFERENTIAL EQUATIONS WITH THE DOUBLE SCALE ANOMALOUS DIFFUSION IN HIGHER DIMENSIONS

Vougalter, Vitali

Osaka Journal of Mathematics, 2024, 61(4), 617-634

アクセス数:69件（2026-02-16 12:11 集計）

固定URL: https://doi.org/10.18910/98472

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タイトル	ON THE SOLVABILITY OF SOME SYSTEMS OF INTEGRO-DIFFERENTIAL EQUATIONS WITH THE DOUBLE SCALE ANOMALOUS DIFFUSION IN HIGHER DIMENSIONS
著者	著者名 Vougalter, Vitali
抄録	In the article we establish the existence of solutions of a system of integro-differential equations in the case of the double scale anomalous diffusion. Each equation of the system contains the sum of the two negative Laplace operators raised to two distinct fractional powers in ℝ＾d, d = 4, 5. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	61(4)
ページ	617-634
刊行年月	2024-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/98472
DOI	https://doi.org/10.18910/98472
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 61, Number 4 （2024-10）

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. 2024, 61(4), p. 617-634
DC.title	ON THE SOLVABILITY OF SOME SYSTEMS OF INTEGRO-DIFFERENTIAL EQUATIONS WITH THE DOUBLE SCALE ANOMALOUS DIFFUSION IN HIGHER DIMENSIONS
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	2024-10
DCTERMS.abstract	In the article we establish the existence of solutions of a system of integro-differential equations in the case of the double scale anomalous diffusion. Each equation of the system contains the sum of the two negative Laplace operators raised to two distinct fractional powers in ℝ＾d, d = 4, 5. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains.
DC.identifier	10.18910/98472
DC.format	98472
citation_title	ON THE SOLVABILITY OF SOME SYSTEMS OF INTEGRO-DIFFERENTIAL EQUATIONS WITH THE DOUBLE SCALE ANOMALOUS DIFFUSION IN HIGHER DIMENSIONS
citation_author	Vougalter, Vitali
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2024-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	61
citation_issue	4
citation_firstpage	617
citation_lastpage	634
citation_public_url	https://hdl.handle.net/11094/98472
citation_doi_detail	10.18910/98472
citation_doi	https://doi.org/10.18910/98472

ON THE SOLVABILITY OF SOME SYSTEMS OF INTEGRO-DIFFERENTIAL EQUATIONS WITH THE DOUBLE SCALE ANOMALOUS DIFFUSION IN HIGHER DIMENSIONS

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