Nonlinear wave equation with weak dissipative term in domains with non-locally reacting boundary

In this paper we study the existence and uniqueness of the global solution of a mixed problem associated to a Carrier Equation with weak dissipative term in a bounded domain of RnRn. On a boundary portion of the domain we consider acoustic boundary conditions to a non-locally reacting boundary. The asymptotic behavior of the energy associated to the problem is also studied.

► We consider a mixed problem associated to wave equation with acoustic boundary condition to non-locally reacting boundary. ► Existence and uniqueness of solution are proved. ► We study the asymptotic behavior of the energy associated to the problem.