Scale-invariant semilinear damped wave models with mass term and integrable in time speed of propagation

Abstract

In this paper, we consider the Cauchy problem forscale-invariant semilinear wave models withtime-dependent mass, dissipation and integrabletime-dependent propagation speed. The goal is tostudy the interplay between the coefficientsappearing in the mass and dissipation term andthe exponent in the speed of propagation to proveglobal (in time) existence of small dataSobolev solutions and blow-up results.