Approximation of the elastic Dirichlet-to-Neumann map

Georgi Vodev

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arXiv · 2201.04825

Approximation of the elastic Dirichlet-to-Neumann map

Georgi Vodev

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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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Georgi Vodev. 2022-01-13. Approximation of the elastic Dirichlet-to-Neumann map. https://arxiv.org/abs/2201.04825

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