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arXiv · 1008.4219

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

Ahmad Fino·Mokhtar Kirane·Vladimir Georgiev
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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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Ahmad Fino, Mokhtar Kirane, Vladimir Georgiev. 2010-08-25. Finite time blow-up for a wave equation with a nonlocal nonlinearity. https://arxiv.org/abs/1008.4219

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