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Global existence and Lp estimates for solutions of damped wave equation with nonlinear convection in multi-dimensional space

✍ Scribed by Chen Jiao

Book ID: 114192365
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 276 KB
Volume: 32
Category: Article
ISSN: 0252-9602
DOI: 10.1016/s0252-9602(12)60089-7

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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