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- W161970070 abstract "In this paper we prove the exponential and polynomial decays rates in the case n > 2, as time approaches infinity of regular solutions of the wave equations with memory Z t 0 g(t s) u(s)ds = 0 in b Q where b Q is a non cylindrical domains of Rn+1, (n 1). We show that the dis- sipation produced by memory eect is strong enough to produce exponential decay of solution provided the relaxation function g also decays exponentially. When the relaxation function decay polynomially, we show that the solution decays polynomially with the same rate. For this we introduced a new mul- tiplier that makes an important role in the obtaining of the exponential and polynomial decays of the energy of the system. Existence, uniqueness and regularity of solutions for any n 1 are investigated. The obtained result extends known results from cylindrical to non-cylindrical domains." @default.
- W161970070 created "2016-06-24" @default.
- W161970070 creator A5086971953 @default.
- W161970070 date "2007-10-01" @default.
- W161970070 modified "2023-09-27" @default.
- W161970070 title "On the wave equations with memory in noncylindrical domains" @default.
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