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Remarks on analytic smoothing effect for the Schrödinger equation
Title: | Remarks on analytic smoothing effect for the Schrödinger equation |
Authors: | Ozawa, Tohru Browse this author | Yamauchi, Kazuyuki Browse this author |
Issue Date: | 2006 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 822 |
Start Page: | 1 |
End Page: | 16 |
Abstract: | 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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69630 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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