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2013 Finite Time Blow-Up of Solutions for Damped Wave Equation with Nonlinear Memory
M. Berbiche, A. Hakem
Commun. Math. Anal. 14(1): 72-84 (2013).

Abstract

We consider the Cauchy problem for a semi-linear wave equation with nonlinear mixed damping term and time nonlocal nonlinearity in multi-dimensional space $ \mathbb{R}^{N}$, we prove the local existence and nonexistence of global solutions theorems.

Citation

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M. Berbiche. A. Hakem. "Finite Time Blow-Up of Solutions for Damped Wave Equation with Nonlinear Memory." Commun. Math. Anal. 14 (1) 72 - 84, 2013.

Information

Published: 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1277.35069
MathSciNet: MR3040882

Subjects:
Primary: 35L15
Secondary: 35B33 , 35L70

Keywords: Blow-up , damped wave equation , local existence

Rights: Copyright © 2013 Mathematical Research Publishers

Vol.14 • No. 1 • 2013
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