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We consider the wave equation in a smooth domain subject to Dirichletboundary conditions on one part of the boundary and dissipative boundaryconditions of memory-delay type on the remainder part of the boundary, where ageneral borelian measure is involved. Under quite weak assumptions on thismeasure, using the multiplier method and a standard integral inequality we showthe exponential stability of the system.  Some examples of measures satisfying our hypotheses are given, recovering andextending some of the results from the literature.

Energy decay for solutions of the wave equation with general memory boundary conditions