Approximation of the elastic Dirichlet-to-Neumann map

preprint2022arXivOpen access

Abstract

We study the Dirichlet-to-Neumann map for the stationary linear equation of elasticity in a bounded domain in R d , d ≥\ge 2, with smooth boundary. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol modulo conjugation by unitary matrices.

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