Localisation Inverse Problem of Absorbing Laplacian Transport

Ibrahim Baydoun

école Centrale Paris, Laboratoire de MSS-MAT, Grande Voie des Vignes, Chatenay-Malabry Cedex, France.

DOI: 10.4236/jmp.2013.45080                

Abstract

We study the localisation inverse problem corresponding to Laplacian transport of absorbing cell. Our main goal is to find sufficient Dirichelet-to-Neumann conditions insuring that this inverse problem is uniquely soluble. In this paper, we show that the conformal mapping technique is adopted to this type of problem in the two dimensional case.

Keywords

Laplacian Transport; Dirichlet-to-Neumann Operators; Inverse Problem; Conformal Mapping

Conflicts of Interest

The authors declare no conflicts of interest.

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