We consider the wave equation in a smooth domain subject to Dirichlet
boundary conditions on one part of the boundary and dissipative boundary
conditions of memory-delay type on the remainder part of the boundary, where a
general borelian measure is involved. Under quite weak assumptions on this
measure, using the multiplier method and a standard integral inequality we show
the exponential stability of the system.
Some examples of measures satisfying our hypotheses are given, recovering and
extending some of the results from the literature.Comment: 14 pages, submitted to Diff. Int. Eq