A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type
Analysis of PDEs
2022-10-28 v1
Abstract
In this paper, we consider a weakly coupled system of a wave and damped Klein-Gordon equation with nonlinearities of derivative type. We prove a blow-up result for the Cauchy problem associated with this system for nonnegative and compactly supported data by means of an iteration argument.
Keywords
Cite
@article{arxiv.2201.09462,
title = {A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type},
author = {Alessandro Palmieri and Hiroyuki Takamura},
journal= {arXiv preprint arXiv:2201.09462},
year = {2022}
}