Remarks on analytic smoothing effect for the Schrödinger equation

T. Ozawa, K. Yamauchi

研究成果: Article

12 引用 (Scopus)

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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.

元の言語English
ページ(範囲)511-524
ページ数14
ジャーナルMathematische Zeitschrift
261
発行部数3
DOI
出版物ステータスPublished - 2009 3 1
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)

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