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math.SP2022★ 4 cited
Determining Lamé coefficients by elastic Dirichlet-to-Neumann map on a Riemannian manifold
Xiaoming Tan, Genqian Liu
For the Lamé operator with variable coefficients and on a smooth compact Riemannian manifold with smooth boundary , we give an expli…
math.SP2022
Two-term spectral asymptotics in linear elasticity on a Riemannian manifold
Genqian Liu
In this note, by explaining two key methods that were employed in \cite{Liu-21} and by giving some remarks, we show that the proof of Theorem 1.1 in \cite{Liu-21} is a rigorous pro…
math.SP2022★ 1 cited
Asymptotic Expansions of The Traces of the Thermoelastic Operators
Genqian Liu, Xiaoming Tan
We obtain the asymptotic expansions of the traces of the thermoelastic operators with the Dirichlet and Neumann boundary conditions on a Riemannian manifold, and give an effective…