Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part
Analysis of PDEs
2019-05-01 v1
Abstract
In this work we determine the critical exponent for a weakly coupled system of semilinear wave equations with distinct scale-invariant lower order terms, when these terms make both equations in some sense parabolic-like. For the blow-up result the test functions method is applied, while for the global existence (in time) results we use L2-L2 estimates with additional L1 regularity.
Keywords
Cite
@article{arxiv.1809.10103,
title = {Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part},
author = {Wenhui Chen and Alessandro Palmieri},
journal= {arXiv preprint arXiv:1809.10103},
year = {2019}
}
Comments
19 pages