Article ID Journal Published Year Pages File Type
474123 Computers & Mathematics with Applications 2009 7 Pages PDF
Abstract

We derive a fast decay estimate for the wave equation with a local degenerate dissipation of the type a(x)uta(x)ut in a bounded domain ΩΩ. The dissipative coefficient a(x)a(x) is a nonnegative function only on a neighborhood of some part of the boundary ∂Ω∂Ω and may vanish somewhere in Ω¯. The results obtained extend and improve on earlier results of Nakao as well as those of Tcheugoué Tébou. The method of proof is based on multipliers technique and some modified interpolation and difference inequalities.

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Physical Sciences and Engineering Computer Science Computer Science (General)
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