Remarks on analytic smoothing effect for the Schrödinger equation

Ozawa, Tohru; Yamauchi, Kazuyuki

Hokkaido University Preprint Series in Mathematics, 2006, 822, 1-16

Permalink : https://doi.org/10.14943/83972

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アクセス権	open access
DOI	https://doi.org/10.14943/83972
URI	https://hdl.handle.net/2115/69630
タイトル	Remarks on analytic smoothing effect for the Schrödinger equation
著者	著者名 Ozawa, Tohru
著者	著者名 Yamauchi, Kazuyuki
言語	英語
発行日	2006
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	822
ページ	1-16
抄録	We study analytic smoothing effect of solutions to the Schr odinger equation with Cauchy data decaying exponentially at in nity. The do- main of analyticity in the space variables of solutions is described under weight conditions on the data in the terms of the corresponding supporting functios. The domain of analyticity in the time variable is characterized by means of weight conditions of Gaussian type on the data. A general- ization of various isometrical identities related to the analytic smoothing effect is introduced.
資源タイプ	紀要論文
出版タイプ	Version of Record