Localisation Inverse Problem and Dirichlet-to-Neumann Operator for Absorbing Laplacian Transport

Abstract

We study Laplacian transport by the Dirichlet-to-Neumann formalism in isotropic media ( γ = I) . Our main results concern the solution of the localisation inverse problem of absorbing domains and its relative Dirichlet-to-Neumann operator . In this paper, we define explicitly operator , and we show that Green-Ostrogradski theorem is adopted to this type of problem in three dimensional case.