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Global existence and nonexistence for a nonlinear wave equation with damping and source terms

✍ Scribed by Yong Zhou

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
209 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we consider a nonlinear wave equation with damping and source term on the whole space. For linear damping case, we show that the solution blows up in finite time even for vanishing initial energy. The criteria to guarantee blowup of solutions with positive initial energy are established both for linear and nonlinear damping cases. Global existence and large time behavior also are discussed in this work. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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