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Nonlinear wave equation with weak dissipative term in domains with non-locally reacting boundary. (English) Zbl 1360.76311
Summary: 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 \(\mathbb R^n\). 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.

MSC:
76Q05 Hydro- and aero-acoustics
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