Finite time blow-up for a wave equation with a nonlocal nonlinearity
Analysis of PDEs
2010-08-26 v1
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.
Cite
@article{arxiv.1008.4219,
title = {Finite time blow-up for a wave equation with a nonlocal nonlinearity},
author = {Ahmad Fino and Mokhtar Kirane and Vladimir Georgiev},
journal= {arXiv preprint arXiv:1008.4219},
year = {2010}
}