TITLE:
Localisation Inverse Problem and Dirichlet-to-Neumann Operator for Absorbing Laplacian Transport
AUTHORS:
Ibrahim Baydoun
KEYWORDS:
Absorbing Laplacian Transport; Dirichlet-to-Neumann Operators; Inverse Problem
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.6,
June
13,
2013
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.