Abstract
Abstract
In this work, we are interested in analyzing the well-known Calderón problem, which is an inverse boundary value problem of determining a coefficient function of an elliptic partial differential equation from the knowledge of the associated Dirichlet-to-Neumann map on the boundary of a domain. We consider the discrete version of the Calderon inverse problem with partial boundary data; in particular, we establish logarithmic stability estimates for the discrete Calderón problem, in dimension
d
⩾
3
, for the discrete H
−r
-norm on the boundary under suitable a priori bounds. The proof of our main result is based on a new discrete Carleman estimate for the discrete Laplacian operator with boundary observations.
Funder
Fondo de Financiamiento de Centros de Investigación en Áreas Prioritarias
POSTDOC DICYT
Agencia Nacional de Investigación y Desarrollo
Consejo Nacional de Ciencia y Tecnología
Fondo Nacional de Desarrollo Científico y Tecnológico
MATH-AMSUD
Subject
Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science
Cited by
1 articles.
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