Article ID Journal Published Year Pages File Type
4615903 Journal of Mathematical Analysis and Applications 2014 15 Pages PDF
Abstract

Under appropriate assumptions the higher order energy decay rates for the damped wave equations with variable coefficients c(x)utt−div(A(x)∇u)+a(x)ut=0c(x)utt−div(A(x)∇u)+a(x)ut=0 in RnRn are established. The results concern weighted (in time) and pointwise (in time) energy decay estimates. We also obtain weighted L2L2 estimates for spatial derivatives.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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