Parameter identification for Laplace equation and approximation in Hardy classes

DOI10.1515/156939403322004928zbMath1028.35163OpenAlexW1977312858MaRDI QIDQ4707342

Juliette Leblond, Mohamed Jaoua, Slim Chaabane

Publication date: 26 January 2004

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00072292/file/RR-4295.pdf

zbMATH Keywords

analytic functionLaplace equationidentifiabilitycomplex analysisRobin coefficientidentification scheme

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

A stable recovery method for the Robin inverse problem ⋮ Logarithmic convergence rates for the identification of a nonlinear Robin coefficient ⋮ Pointwise inequalities of logarithmic type in Hardy-Hölder spaces ⋮ Optimal logarithmic estimates in the Hardy-Sobolev space of the disk and stability results ⋮ Differentiability of the \(L^{1}\)-tracking functional linked to the Robin inverse problem. ⋮ On an inverse Robin spectral problem ⋮ Recovery of harmonic functions from partial boundary data respecting internal pointwise values ⋮ Numerical methods for piecewise constant Robin coefficient ⋮ Stability and reconstruction for inverse corrosion problems ⋮ Estimates in the Hardy-Sobolev space of the annulus and stability result ⋮ A constrained approximation problem arising in parameter identification

Cites Work

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• Problems of Addamjan-Arov-Krein type on subsets of the circle and minimal norm extensions
• Asymptotic estimates for interpolation and constrained approximation in \(H^2\) by diagonalization of Toeplitz operators
• Solution of the Cauchy problem using iterated Tikhonov regularization
• A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation
• An inverse Robin problem for Laplace's equation: theoretical results and numerical methods
• How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian?
• Identification of Robin coefficients by the means of boundary measurements

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