ON THE DAVEY-STEWARTSON SYSTEMS

被引：0
|
作者：
LINARES, F [1 ]
PONCE, G [1 ]
机构：
[1] UNIV CALIF SANTA BARBARA,DEPT MATH,SANTA BARBARA,CA 93106
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1993年 / 10卷 / 05期
关键词：
INITIAL VALUE PROBLEM; SMOOTHING EFFECT; LOCAL WELL-POSEDNESS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the initial value problem for the Davey-Stewartson systems. This model arises generically in both physics and mathematics. Using the classification in [15] we consider the elliptic-hyperbolic and hyperbolic-hyperbolic cases. Under smallness assumption on the data it is shown that the IVP is locally wellposed in weighted Sobolev spaces.
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页码：523 / 548
页数：26
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