Sur certains problèmes directs et inverses liés au bilaplacien
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Date
2024
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Abstract
This thesis is concerned with the Robin’s inverse problem of determining that has been suggested by Kress and Cakoni for the Laplacian .The identifcation is based on a system of nonlinear ill-posed integral equations which is solved iteratively by linearisation using Fréchet derivatives. We present the mathematical spirit of the proposed method and, in particular, establish the injectivity for the linearised system for Robin’s coefcients. The performance of the method is illustrated by numerical examples.