WELL-POSEDNESS AND PARABOLIC SMOOTHING EFFECT FOR HIGHER ORDER SCHRO¨ DINGER TYPE EQUATIONS WITH CONSTANT COEFFICIENTS

Tanaka, Tomoyuki; Tsugawa, Kotaro

doi:https://doi.org/10.18910/87488

WELL-POSEDNESS AND PARABOLIC SMOOTHING EFFECT FOR HIGHER ORDER SCHRO¨ DINGER TYPE EQUATIONS WITH CONSTANT COEFFICIENTS

Tanaka, Tomoyuki; Tsugawa, Kotaro

Osaka Journal of Mathematics, 2022, 59(2), 465-480

アクセス数:230件（2026-07-20 00:48 集計）

固定URL: https://doi.org/10.18910/87488

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タイトル	WELL-POSEDNESS AND PARABOLIC SMOOTHING EFFECT FOR HIGHER ORDER SCHRO¨ DINGER TYPE EQUATIONS WITH CONSTANT COEFFICIENTS
著者	著者名 Tanaka, Tomoyuki
著者	NRID 1000070402451 1000070402451 著者名 Tsugawa, Kotaro
抄録	In this paper, we consider the Cauchy problem of a class of higher order Schr¨odinger type equations with constant coefficients. By employing the energy inequality, we show the L2 well-posedness, the parabolic smoothing and a breakdown of the persistence of regularity. We classify this class of equations into three types on the basis of their smoothing property.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	59(2)
ページ	465-480
刊行年月	2022-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/87488
DOI	https://doi.org/10.18910/87488
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 59, Number 2 （2022-4）

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. 2022, 59(2), p. 465-480
DC.title	WELL-POSEDNESS AND PARABOLIC SMOOTHING EFFECT FOR HIGHER ORDER SCHRO¨ DINGER TYPE EQUATIONS WITH CONSTANT COEFFICIENTS
DC.creator	Tanaka, Tomoyuki
DC.creator	Tsugawa, Kotaro
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	2022-04
DCTERMS.abstract	In this paper, we consider the Cauchy problem of a class of higher order Schr¨odinger type equations with constant coefficients. By employing the energy inequality, we show the L2 well-posedness, the parabolic smoothing and a breakdown of the persistence of regularity. We classify this class of equations into three types on the basis of their smoothing property.
DC.identifier	10.18910/87488
DC.format	87488
citation_title	WELL-POSEDNESS AND PARABOLIC SMOOTHING EFFECT FOR HIGHER ORDER SCHRO¨ DINGER TYPE EQUATIONS WITH CONSTANT COEFFICIENTS
citation_author	Tanaka, Tomoyuki
citation_author	Tsugawa, Kotaro
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2022-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	59
citation_issue	2
citation_firstpage	465
citation_lastpage	480
citation_public_url	https://hdl.handle.net/11094/87488
citation_doi_detail	10.18910/87488
citation_doi	https://doi.org/10.18910/87488

WELL-POSEDNESS AND PARABOLIC SMOOTHING EFFECT FOR HIGHER ORDER SCHRO¨ DINGER TYPE EQUATIONS WITH CONSTANT COEFFICIENTS

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