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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.

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Copyright © 2013 Mathematical Research Publishers
M. Berbiche and A. Hakem "Finite Time Blow-Up of Solutions for Damped Wave Equation with Nonlinear Memory," Communications in Mathematical Analysis 14(1), 72-84, (2013). https://doi.org/
Published: 2013
Vol.14 • No. 1 • 2013
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