APPROXIMATION OF THE ELASTIC DIRICHLET-TO-NEUMANN MAP

Georgi Vodev (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We study the Dirichlet-to-Neumann map for the stationary linear equation of elasticity in a bounded domain in R d , d ≥ 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.

Domaines: Equations aux dérivées partielles [math.AP]

Georgi Vodev. APPROXIMATION OF THE ELASTIC DIRICHLET-TO-NEUMANN MAP. Inverse Problems and Imaging , 2023, 17 (1), pp.297-318. ⟨hal-03523364⟩