Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms
Analysis of PDEs
2016-04-29 v1
Abstract
In this paper, we study the Cauchy problem for a nonlinear wave equation with frictional and viscoelastic damping terms. Our aim is to obtain the threshold, to classify the global existence of solution for small data or the finite time blow-up pf the solution, with respect to the growth order of the nonlinearity.
Keywords
Cite
@article{arxiv.1604.08265,
title = {Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms},
author = {Ryo Ikehata and Hiroshi Takeda},
journal= {arXiv preprint arXiv:1604.08265},
year = {2016}
}