Finite time blow-up for a wave equation with a nonlocal nonlinearity

2010/08/25 by Fino, Ahmad, Kirane, Mokhtar, Georgiev, Vladimir
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1008.4219

Abstract

In this article, we study the local existence of solutions for a wave equation with a nonlocal in time nonlinearity. Moreover, a blow-up results are proved under some conditions on the dimensional space, the initial data and the nonlinear forcing term.

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