Direct and inverse problem for geometric perturbation of the Laplace operator in a strip

Abstract This paper is concerned with the inverse problem of determining geometric shape of a part γ of the boundary of a perturbed strip Ω from a pair of Cauchy data of a harmonic function u in Ω. This leads to the study of the direct problem. Using the variational method, we show that is well pose...

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Bibliographic Details
Main Authors: I. Khélifa, L. Chorfi
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1245-6