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Blow up and global existence in a nonlinear viscoelastic wave equation

✍ Scribed by Salim A. Messaoudi

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
133 KB
Volume
260
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper the nonlinear viscoelastic wave equation

associated with initial and Dirichlet boundary conditions is considered. Under suitable conditions on g, it is proved that any weak solution with negative initial energy blows up in finite time if p > m. Also the case of a stronger damping is considered and it is showed that solutions exist globally for any initial data, in the appropriate space, provided that m β‰₯ p.

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