Dept. Math, Hokkaido Univ. EPrints Server

Analytic Smoothing Effect for Solutions to Schr\"odinger Equations with Nonlinearity of Integral

Preprint Series # 641
Ozawa, Tohru and Yamauchi, Kazuyuki and Yamazaki, Yasuko Analytic Smoothing Effect for Solutions to Schr\"odinger Equations with Nonlinearity of Integral. (2004);

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Abstract

We study analytic smoothing effects for solutions to the Cauchy problem for the Schr\"odinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. The only assumption on the Cauchy data is the weight condition of exponential type and no regularity assumption is imposed.

Item Type:Preprint
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:146