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On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms

✍ Scribed by Toundykov, Daniel; Rammaha, Mohammad; Cavalcanti, Valeria; Cavalcanti, M.; Alves, Claudianor

Book ID
126853025
Publisher
American Institute of Mathematical Sciences
Year
2009
Tongue
English
Weight
327 KB
Volume
2
Category
Article
ISSN
1937-1632

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## Abstract In this paper we investigate the global existence and finite time blow‐up of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions. Here βˆ‚__j__ denote the sub‐differential of __j__. Under suitable assumptions on __g__(Β·), __j__(Β·) an