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20212023
most citedDetermining Lamé coefficients by elastic Dirichlet-to-Neumann map on a Riemannian manifold

4 citations · 8 across the 5 of their papers we have counts for

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5 papers

math.AP2023

Determining coefficients of thermoelastic system from boundary information

Xiaoming Tan

Given a compact Riemannian manifold with smooth boundary , we give an explicit expression for full symbol of the thermoelastic Dirichlet-to-Neumann map wi…

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.AP2022★ 2 cited

Asymptotic Expansion of the Heat Trace of the Thermoelastic Dirichlet-to-Neumann map

Genqian Liu, Xiaoming Tan

This paper is devoted to study the asymptotic expansion of the heat trace of the Dirichlet-to-Neumann map for the thermoelastic equation on a Riemannian manifold with doundary. By…

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…

math.AP2021★ 1 cited

Spectral Invariants of the Magnetic Dirichlet-to-Neumann Map on Riemannian Manifolds

Genqian Liu, Xiaoming Tan

This paper is devoted to investigate the heat trace asymptotic expansion corresponding to the magnetic Steklov eigenvalue problem on Riemannian manifolds with boundary. We establis…