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Existence and asymptotic stability of a viscoelastic wave equation with a delay

โœ Scribed by Mokhtar Kirane; Belkacem Said-Houari


Publisher
Springer
Year
2011
Tongue
English
Weight
297 KB
Volume
62
Category
Article
ISSN
0044-2275

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## 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 o