ON THE BLOW-UP SOLUTIONS FOR THE NONLINEAR RADIAL SCHRÖDINGER EQUATIONS WITH SPATIAL VARIABLE COEFFICIENTS

Zheng, Bowen

Osaka Journal of Mathematics, 2023, 60(1), 31-42

アクセス数:70件（2025-07-02 23:05 集計）

固定URL: https://doi.org/10.18910/89991

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タイトル	ON THE BLOW-UP SOLUTIONS FOR THE NONLINEAR RADIAL SCHRÖDINGER EQUATIONS WITH SPATIAL VARIABLE COEFFICIENTS
著者	著者名 Zheng, Bowen
抄録	We study a generalized nonlinear Schrödinger equations with spatial variable coefficients, which models the remarkable inhomogeneous Schrö dinger maps (ISM). A new weighted Sobolev space W^<1,q>(ℝ⁺) is introduced and the existence of blow-up solutions of this equations, including the integrable radial ISM, with the initial data in W^<1,2>(ℝ⁺) is proved.
出版者	Osaka University and Osaka Metropolitan University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	60(1)
ページ	31-42
刊行年月	2023-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/89991
DOI	https://doi.org/10.18910/89991
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 60, Number 1 （2023-1）

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. 2023, 60(1), p. 31-42
DC.title	ON THE BLOW-UP SOLUTIONS FOR THE NONLINEAR RADIAL SCHRÖDINGER EQUATIONS WITH SPATIAL VARIABLE COEFFICIENTS
DC.creator	Zheng, Bowen
DC.publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2023-01
DCTERMS.abstract	We study a generalized nonlinear Schrödinger equations with spatial variable coefficients, which models the remarkable inhomogeneous Schrö dinger maps (ISM). A new weighted Sobolev space W^<1,q>(ℝ⁺) is introduced and the existence of blow-up solutions of this equations, including the integrable radial ISM, with the initial data in W^<1,2>(ℝ⁺) is proved.
DC.identifier	10.18910/89991
DC.format	89991
citation_title	ON THE BLOW-UP SOLUTIONS FOR THE NONLINEAR RADIAL SCHRÖDINGER EQUATIONS WITH SPATIAL VARIABLE COEFFICIENTS
citation_author	Zheng, Bowen
citation_publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
citation_language	英語
citation_date	2023-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	60
citation_issue	1
citation_firstpage	31
citation_lastpage	42
citation_public_url	https://hdl.handle.net/11094/89991
citation_doi_detail	10.18910/89991
citation_doi	https://doi.org/10.18910/89991