Lipschitz stability estimates for an inverse source problem in an elliptic equation from interior measurements

DOI10.1080/00036811.2015.1074680zbMath1348.35316OpenAlexW2290167561WikidataQ58259684 ScholiaQ58259684MaRDI QIDQ2825384

Ahmad El Hajj, Abdellatif El Badia, Hayat Moustafa, Mustapha Jazar

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1074680

zbMATH Keywords

elliptic equationsLaplace equationinverse source problemsscreened Poisson equationstability estimatesthree-sphere inequalityseawater intrusion

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Green's functions for elliptic equations (35J08)

Related Items (6)

Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems ⋮ Quadratic convergence of Levenberg-Marquardt method for elliptic and parabolic inverse robin problems ⋮ A data-driven model reduction method for parabolic inverse source problems and its convergence analysis ⋮ Logarithmic stability estimates for an inverse source problem from interior measurements ⋮ Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem ⋮ Recovery of dipolar sources and stability estimates

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