Remarks on analytic smoothing effect for the Schrodinger equation

被引：14

作者：

Ozawa, T. ^{[2
]}

Yamauchi, K. ^{[1
]}

机构：

[1] Sapporo Med Univ, Dept Business Adm, Fac Business Adm, Sapporo, Hokkaido 0628520, Japan

[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2009年 / 261卷 / 03期

关键词：

TIME;

D O I：

10.1007/s00209-008-0334-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study analytic smoothing effect of solutions to the Schrodinger equation with Cauchy data decaying exponentially at infinity. The domain of analyticity in the space variables of solutions is described under weight conditions on the data in terms of the corresponding supporting function. The domain of analyticity in the time variable is characterized by means of weight conditions of Gaussian type on the data. A generalization of various isometrical identities related to the analytic smoothing effect is introduced.

引用

页码：511 / 524

页数：14

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