Prefer a chat interface with context about you and your work?
Blow-up of solutions to the one-dimensional semilinear wave equation with damping depending on time and space variables
In this paper, we give a small data blow-up result for the one-dimensional semilinear wave equation with damping depending on time and space variables. We show that if the damping term can be regarded as perturbation, that is, non-effective damping in a certain sense, then the solution blows up in …