Uniform Decay Rates of Solutions to a Nonlinear Wave Equation with Boundary Condition of Memory Type
نویسندگان
چکیده
In this article we study the hyperbolic problem (1) where R is a bounded region in Rn whose boundary is partitioned into disjoint sets ro, rl. We prove that the dissipation given by the memory term is strong enough to assure exponential (or polynomial) decay provided the relaxation function also decays exponentially (or polynomially). In both cases the solution decays with the same rate of the relaxation function.
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تاریخ انتشار 2003