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Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms

✍ Scribed by Belkacem Said-Houari

Publisher: Springer
Year: 2010
Tongue: English
Weight: 254 KB
Volume: 62
Category: Article
ISSN: 0044-2275
DOI: 10.1007/s00033-010-0082-3

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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 ∂__j__ denote the sub‐differential of __j__. Under suitable assumptions on __g__(·), __j__(·) an