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Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory
Journal article   Open access  Peer reviewed

Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory

I. Dannawi, M. Kirane and A. Z. Fino
Nonlinear differential equations and applications, Vol.25(5), p.1
01/10/2018
DOI: https://doi.org/10.1007/s00030-018-0533-7

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the Cauchy problem in R-N, n >= 1, for semilinear damped wave equations with space-time dependent potential and nonlinear memory. A blow-up result under some positive data in any dimensional space is obtained. Moreover, the local existence in the energy space is also studied.
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https://doi.org/10.1007/s00030-018-0533-7View
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