On generalized damped Klein-Gordon equation with nonlinear memory

Abstract

In this paper we consider the Cauchy problem for linear dissipative generalized Klein-Gordon equations with nonlinear memory in the right hand side. Our goal is to study the effect of this nonlinearity on both the decay estimates of global solutions as well as the admissible range of the exponent p.

This paper deals with the linear dissipative generalized Klein-Gordon equations with nonlinear memory, all comments are welcome!