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.
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页码：753 / 769
页数：17
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