Open Access
October, 2003 Microlocal smoothing effect for Schrödinger equations in Gevrey spaces
Kunihiko KAJITANI, Giovanni TAGLIALATELA
J. Math. Soc. Japan 55(4): 855-896 (October, 2003). DOI: 10.2969/jmsj/1191418753

Abstract

The aim of this paper is to investigate the phenomena of microlocal smoothing effect for Schrödinger type equations, in Gevrey spaces. We shall prove that microlocal Gevrey regularity of the solutions of the Cauchy problem for Schrödinger equation, depends on the initial data decay along a backward bicharacteristic.

Citation

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Kunihiko KAJITANI. Giovanni TAGLIALATELA. "Microlocal smoothing effect for Schrödinger equations in Gevrey spaces." J. Math. Soc. Japan 55 (4) 855 - 896, October, 2003. https://doi.org/10.2969/jmsj/1191418753

Information

Published: October, 2003
First available in Project Euclid: 3 October 2007

zbMATH: 1053.35032
MathSciNet: MR2003749
Digital Object Identifier: 10.2969/jmsj/1191418753

Subjects:
Primary: 35B65
Secondary: 35Q40 , 35Q55

Keywords: Hamilton flow , Microlocal smoothing effect , Schrödinger equation

Rights: Copyright © 2003 Mathematical Society of Japan

Vol.55 • No. 4 • October, 2003
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