Weighted L2-estimates of solutions for damped wave equations with variable coefficients
时 间：2019-01-08 16:30-17:00
The authors establish weighted L2-estimates of solutions for the damped wave equations with variable coeﬃcients utt−divA(x)∇u+a(x)ut=0 in Rn under some assumptions on the damping a(x). The authors show that these weighted L2-estimates are closely related to the geometrical properties of the metric determined by A(x). Some examples are given about applications of those L2-estimates in obtaining stabilization properties of wave equations.