Global existence for the 3-D semilinear damped wave equations in the scattering case
Analysis of PDEs
2018-07-09 v1
Abstract
We study the global existence of solutions to semilinear damped wave equations in the scattering case with derivative power-type nonlinearity on (1+3) dimensional nontrapping asymptotically Euclidean manifolds. The main idea is to exploit local energy estimate, together with local existence to convert the parameter to small one.
Keywords
Cite
@article{arxiv.1807.02403,
title = {Global existence for the 3-D semilinear damped wave equations in the scattering case},
author = {Yige Bai and Mengyun Liu},
journal= {arXiv preprint arXiv:1807.02403},
year = {2018}
}
Comments
9 pages