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

Ahmad Fino (LaMA--Liban; LMA-PAU; MIA); Mokhtar Kirane (MIA); Vladimir Georgiev

arxiv: 1008.4219 · v1 · pith:KS6AV3F4new · submitted 2010-08-25 · 🧮 math.AP

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

Ahmad Fino (LaMA--Liban , LMA-PAU , MIA) , Mokhtar Kirane (MIA) , Vladimir Georgiev This is my paper

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keywords blow-upequationnonlinearitynonlocaltimewavearticleconditions

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

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