Affiliation:
1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Abstract
Given a compact Riemannian manifold (M,g) with smooth boundary ∂M, we give an explicit expression for the full symbol of the thermoelastic Dirichlet-to-Neumann map Λg with variable coefficients λ,μ,α,β∈C∞(M¯). We prove that Λg uniquely determines partial derivatives of all orders of these coefficients on the boundary ∂M. Moreover, for a nonempty smooth open subset Γ⊂∂M, suppose that the manifold and these coefficients are real analytic up to Γ. We show that Λg uniquely determines these coefficients on the whole manifold M¯.
Funder
National Natural Science Foundation of China
National Key Research and Development Program of China
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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