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.

引用

页码：523 / 548

页数：26

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