Xiaoming Tan

collaborators

3 papers

math.DG2025

Spectral invariants of the Dirichlet-to-Neumann map associated to the Witten-Laplacian with potential

Xiaoming Tan

For a compact connected Riemannian manifold with smooth boundary, we establish an effective procedure, by which we can calculate all the coefficients of the spectral asymptotic for…

math.AP2024

Boundary determination of the Riemannian metric from Cauchy data for the Stokes equations

Xiaoming Tan

For a compact connected Riemannian manifold of dimension $n$ with smooth boundary, $n ⩾ 2$ , we prove that the Cauchy data (or the Dirichlet-to-Neumann map) for the Stokes eq…

math.DG2024

Boundary determination of the Riemannian metric by the elastic Dirichlet-to-Neumann map

Xiaoming Tan

For a compact connected Riemannian manifold with smooth boundary, by computing the full symbol of the elastic Dirichlet-to-Neumann map, we prove that the elastic Dirichlet-to-Neuma…