paper

Blow up and lifespan estimates for systems of semi-linear wave equations with damping and potential

arXiv:2211.10639

Abstract

In this paper, we consider the semi-linear wave systems with power-nonlinearities and a large class of space-dependent damping and potential. We obtain the same blow-up regions and the lifespan estimates for three types wave systems, compared with the systems without damping and potential.

21 pages. arXiv admin note: substantial text overlap with arXiv:2209.02920