On justification of the Gelfand-Levitan-Krein method for a two-dimensional inverse problem

DOI10.1134/S003744662105013XzbMath1501.65056OpenAlexW3201895982MaRDI QIDQ820496

Vladimir G. Romanov

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1134/s003744662105013x

zbMATH Keywords

inverse problemintegral equationspace of analytic functionsill-posed Cauchy problemmultidimensional Gelfand-Levitan-Krein method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Spectral theory and eigenvalue problems for partial differential equations (35P99) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Cites Work

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