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.
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页码：57 / 64
页数：8
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