Stability and instability of the damped inhomogeneous and anisotropic
elastic wave equation with a memory
- Yongli Xing,
- Fengyan Yang
, - Zihui Liu,
- Zhenhu Ning
Abstract
We consider the damped inhomogeneous and anisotropic elastic wave
equation with a memory on bounded domain. We apply the Morawetz
estimates and the compactness-uniqueness arguments to prove the
stability results. We also give a discussion of the instability of the
system when the proposed condition is not satisfied.
