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Oscillatory asymptotic expansion for semilinear wave equation

โœ Scribed by Stefania Di Pomponio

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
144 KB
Volume
24
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Abstract

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 ยฉ 2001 John Wiley & Sons, Ltd.

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