Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615903 | Journal of Mathematical Analysis and Applications | 2014 | 15 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Liqing Lu, Shengjia Li,