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

• 作者: Ibrahim Baydoun
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Absorbing LAPLACIAN TRANSPORT Dirichlet-to-Neumann Operators Inverse Problem
• 年，卷（期）: 2013,（6）
• 页码范围: 772-779
• 页数: 8页
• 分类号: O1

摘要

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.