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Public Documents
1
Stability and instability of the damped inhomogeneous and anisotropic elastic wave eq...
Yongli Xing
and 3 more
January 30, 2024
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.