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

DOI: 10.4236/jmp.2013.46106   PDF   HTML     3,806 Downloads   5,076 Views   Citations

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.

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I. Baydoun, "Localisation Inverse Problem and Dirichlet-to-Neumann Operator for Absorbing Laplacian Transport," Journal of Modern Physics, Vol. 4 No. 6, 2013, pp. 772-779. doi: 10.4236/jmp.2013.46106.

Conflicts of Interest

The authors declare no conflicts of interest.

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