Construction of a Carleman function based on the Tikhonov regularization method in an ill-posed problem for the Laplace equation

DOI10.1134/S0012266118040055zbMath1404.35484OpenAlexW2804015109WikidataQ115250772 ScholiaQ115250772MaRDI QIDQ721905

D. Kharzeev

Publication date: 20 July 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118040055

zbMATH Keywords

mixed boundary value problemTikhonov regularization methodCarleman-Lavrent'ev function

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (max. 100)

On an ill-posed boundary value problem for a metaharmonic equation in a circular cylinder ⋮ ON A LINEAR INVERSE POTENTIAL PROBLEM WITH APPROXIMATE DATA ON THE POTENTIAL FIELD ON AN APPROXIMATELY GIVEN SURFACE ⋮ Minimum principle for the Tikhonov functional in the problem of stable continuation of a potential field from a surface ⋮ Unnamed Item ⋮ On a stable approximate solution of an ill-posedboundary value problem for the metaharmonic equation

Cites Work

• Inverse problems of potential theory (elliptic, parabolic, hyperbolic, and transport equations)
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