Convergence rate analysis for parameter identification with semi-linear parabolic equation

DOI10.1515/JIIP.2009.025zbMath1190.65142MaRDI QIDQ5191063

Zhen-Hai Liu, Jing Li

Publication date: 28 July 2009

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

zbMATH Keywords

convergenceinverse problemsparameter identificationsemilinear parabolic equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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Cites Work

• On global behavior of solutions to an inverse problem for nonlinear parabolic equations
• Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
• Identification of parameters in ill-posed linear parabolic equations
• On the identification of coefficients of semilinear parabolic equations
• An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
• Numerical identifications of parameters in parabolic systems
• A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
• Browder–Tikhonov regularization of non-coercive evolution hemivariational inequalities
• Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation
• Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data

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