A method for choosing the regularization parameter of determining the right-hand side from integral observation

DOI10.1142/S1793557122501327OpenAlexW3205743080MaRDI QIDQ5876749

Nguyen Thi Ngoc Oanh

Publication date: 2 February 2023

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122501327

zbMATH Keywords

Tikhonov regularizationL-curveright-hand side problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear parabolic equations (35K58)

Cites Work

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• Determination of a time-dependent term in the right-hand side of linear parabolic equations
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Using the \(L\)-curve for determining optimal regularization parameters
• Numerical methods for solving inverse problems of mathematical physics.
• A noncharacteristic cauchy problem for linear parabolic equations II: a variational method
• A noncharacteristic cauchy problem for linear parabolic equations III: a variational method and its approximation schemes
• Determination of the initial condition in parabolic equations from integral observations

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