Parameter identification from boundary measurements in a parabolic equation arising from geophysics

DOI10.1016/0362-546X(93)90013-IzbMath0776.35083MaRDI QIDQ5285898

Heinz W. Engl, Otmar Scherzer, Robert S. Anderssen

Publication date: 29 June 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

convergence ratesexistenceuniquenessminimum-norm solutionsparameter estimation in parabolic equationscontinuous dependence for the direct problemTikhonov regularization for nonlinear inverse problems

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (4)

Logarithmic convergence rates for the identification of a nonlinear Robin coefficient ⋮ Weakly closed nonlinear operators and parameter identification in parabolic equations by tikhonov regularization ⋮ Convergence rate analysis of a derivative free Landweber iteration for parameter identification in certain elliptic PDEs ⋮ Unnamed Item

Cites Work

• The use of Tikhonov regularization in the identification of electrical conductivities from overdetermined boundary data
• Formulas in inverse and ill-posed problems
• Well posedness and convergence of some regularisation methods for non-linear ill posed problems
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• When Do Sobolev Spaces Form a Hilbert Scale?
• On a class of ill-posed non-linear integral equations arising in the interpretation of indirect measurements
• Ergodic theory and iterative solution of linear operator equations
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