Microlocal smoothing effect for Schrodinger equations in Gevrey spaces

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概要

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• 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.

• 社団法人 日本数学会の論文
• 2003-10-01

著者

• KAJITANI Kunihiko

  Institute of Mathematics University of Tsukuba

• TAGLIALATELA Giovanni

  Institute of Mathematics University of Tsukuba

• Taglialatela Giovanni

  Institut De Mathematiques Analyse Algebrique Universite Pierre Et Marie Curie

関連論文

• On extension of solutions of Kirchhoff equations
• The C^∞-well posed Cauchy problem for hyperbolic operators dominated by time functions
• Microlocal a priori estimates and the Cauchy problem I
• Microhyperbolic Operators in Gevrey Classes
• Quasilinear hyperbolic operators with the characteristics of variable multiplicity
• Microlocal a priori estimates and the Cauchy problem II
• The Cauchy problem for Schrodinger type equations with variable coefficients Dedicated to Professor Toshinobu Muramatsu on his 60th birthday
• Microlocal smoothing effect for Schrodinger equations in Gevrey spaces
• Sato-Kashiwara Determinant and Levi Conditions for Systems
• The hyperbolic mixed problem in Gevrey classes

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