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Initial boundary value problem for a class of non-linear strongly damped wave equations

โœ Scribed by Yang Zhijian

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
182 KB
Volume
26
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Abstract

The paper studies the existence, asymptotic behaviour and stability of global solutions to the initial boundary value problem for a class of strongly damped nonโ€linear wave equations. By a H00.5ptkโ€Galerkin approximation scheme, it proves that the aboveโ€mentioned problem admits a unique classical solution depending continuously on initial data and decaying to zero as tโ†’+โˆžas long as the nonโ€linear terms are sufficiently smooth; they, as well as their derivatives or partial derivatives, are of polynomial growth order and the initial energy is properly small. Copyright ยฉ 2003 John Wiley & Sons, Ltd.

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