Critical exponent for nonlinear damped wave equations with non-negative potential in 3D
Analysis of PDEs
2018-10-16 v1
Abstract
We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding nonlinear Cauchy problem with small initial data. The main new phenomena is that certain relation between these coefficients may cause very strong jump of the critical Strauss exponent in 3D to the critical 5D Strauss exponent for the wave equation without damping coefficients.
Keywords
Cite
@article{arxiv.1810.05956,
title = {Critical exponent for nonlinear damped wave equations with non-negative potential in 3D},
author = {Vladimir Georgiev and Hideo Kubo and Kyouhei Wakasa},
journal= {arXiv preprint arXiv:1810.05956},
year = {2018}
}
Comments
16 pages