ON A LINEAR INVERSE POTENTIAL PROBLEM WITH APPROXIMATE DATA ON THE POTENTIAL FIELD ON AN APPROXIMATELY GIVEN SURFACE

DOI10.32523/2077-9879-2023-14-1-55-70MaRDI QIDQ6114126

Evgeniĭ Borisovich Laneev, Unnamed Author

Publication date: 14 August 2023

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj462

zbMATH Keywords

ill-posed problemmethod of Tikhonov regularizationinverse problem for potentialSretenskiy class of bodies

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)

Cites Work

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• Construction of a Carleman function based on the Tikhonov regularization method in an ill-posed problem for the Laplace equation
• Inverse problems of potential theory (elliptic, parabolic, hyperbolic, and transport equations)
• On an inverse problem to a mixed problem for the Poisson equation

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