Oscillatory asymptotic expansion for semilinear wave equation

被引：0

作者：

Di Pomponio, S ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2001年 / 24卷 / 10期

关键词：

Approximation theory - Asymptotic stability - Geometrical optics - Problem solving - Transport properties;

D O I：

10.1002/mma.240

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study oscillatory properties of the solution to semilinear wave equation, assuming oscillatory terms in initial data have sufficiently small amplitude. The main result gives an a priori estimate of the remainder in the approximation by means of the method of geometric optics. The method of establishing this estimate is based on a combination between energy type estimates for transport equation and Sobolev embedding. Copyright (C) 2001 John Wiley & Sons, Ltd.

引用

页码：753 / 769

页数：17

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