Remarks on analytic smoothing effect for the Schrödinger equation

T. Ozawa, K. Yamauchi

研究成果: Article査読

12 被引用数 (Scopus)

抄録

We study analytic smoothing effect of solutions to the Schrödinger 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.

本文言語English
ページ(範囲)511-524
ページ数14
ジャーナルMathematische Zeitschrift
261
3
DOI
出版ステータスPublished - 2009 3 1
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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