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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 <img style="width:55px;height:20px;" alt="" src="Edit_4d59647b-12e3-456a-b29a-ad975892b702.bmp" width="69" height="26" /> . In this paper, we define explicitly operator <img style="width:55px;height:20px;" alt="" src="Edit_4d59647b-12e3-456a-b29a-ad975892b702.bmp" width="69" height="26" />, and we show that Green-Ostrogradski theorem is adopted to this type of problem in three dimensional case. </p

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