A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type
arXiv:2201.09462 · doi:10.1007/s00208-022-02456-y
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.
References in corpus (3)
- Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms
- A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type
- A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime