Seminars_raw

Weighted L2-estimates of solutions for damped wave equations with variable coefficients

2019-01-08 00:00

Speaker: Zhifei ZHANG

unit:

Time: 2019-01-08 16:30-17:00

Venue: The Wei Jin Road No. 6 Building 111

starttime: 2019-01-08 16:30-17:00

Profile:


Theme:
Weighted L2-estimates of solutions for damped wave equations with variable coefficients
Time:
2019-01-08 16:30-17:00
Venue:
The Wei Jin Road No. 6 Building 111
Speaker:
Zhifei ZHANG

Abstract

    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.


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