Differentiability of the \(L^{1}\)-tracking functional linked to the Robin inverse problem.

DOI10.1016/J.CRMA.2003.10.023zbMath1038.35157OpenAlexW2051576962MaRDI QIDQ1420185

Slim Chaabane, Jamel Ferchichi, Karl Kunisch

Publication date: 28 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.023

zbMATH Keywords

optimizationdifferentiabilityidentifiability\(L^1\)-normRobin parameter

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence theories for optimal control problems involving partial differential equations (49J20) Electro- and magnetostatics (78A30)

Related Items (1)

The numerical solution of forward and inverse Robin problems for Laplace's equation

Cites Work

• Unnamed Item
• Corrigendum: An inverse problem in corrosion detection: stability estimates
• A stable recovery method for the Robin inverse problem
• An inverse Robin problem for Laplace's equation: theoretical results and numerical methods
• An inverse problem in corrosion detection
• Logarithmic stability estimates for a Robin coefficient in two-dimensional Laplace inverse problems
• Parameter identification for Laplace equation and approximation in Hardy classes
• Method for imaging corrosion damage in thin plates from electrostatic data
• Identification of Robin coefficients by the means of boundary measurements

This page was built for publication: Differentiability of the \(L^{1}\)-tracking functional linked to the Robin inverse problem.