Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system

被引：0

作者：

Hayashi, N ^{[1
]}

Uchida, H ^{[1
]}

Naumkin, P ^{[1
]}

机构：

[1] Sci Univ Tokyo, Dept Appl Math, Shinjuku Ku, Tokyo 1628601, Japan

来源：

INTERNATIONAL SEMINAR DAY ON DIFFRACTION, PROCEEDINGS | 1999年

关键词：

D O I：

10.1109/DD.1999.816184

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study elliptic-hyperbolic Davey-Stewartson equation which is considered as nonlocal nonlinear Schrodinger equations with nonlinearities involving derivatives of unknown function in two space dimensions. We will show that solutions become analytic for any t not equal 0 with respect to x if the data are small and decay exponentially when \x\ --> infinity.

引用

页码：57 / 64

页数：8

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