Ask a Question

Prefer a chat interface with context about you and your work?

Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions

Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions

In this paper, we consider the Klein–Gordon equation u″+−αΔu+β|u′|pu′+γ|u|qu=0 with damping term and acoustic boundary conditions. This work is devoted to prove the existence of global solutions and uniform decay rates of solutions of the Klein–Gordon equation with damping term and acoustic boundary conditions.