A decreasing rearrangement approach for a class of ill-posed nonlinear integral equations

DOI10.1216/jiea/1181075772zbMath0799.65149OpenAlexW2130992957MaRDI QIDQ1325739

Heinz W. Engl, Helmut Zeisel, Bernd Hofmann

Publication date: 17 November 1994

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075772

zbMATH Keywords

Tikhonov regularizationnonlinear ill-posed problemsmonotone solutionsdecreasing rearrangementsnonlinear Fredholm integral equations of the first kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (2)

Regularization of linear ill-posed problems involving multiplication operators ⋮ On a special class of nonlinear Fredholm integral equations of the first kind

Cites Work

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• Rearrangements and convexity of level sets in PDE
• The use of Tikhonov regularization in the identification of electrical conductivities from overdetermined boundary data
• Symmetrization of functions in Sobolev spaces and the isoperimetric inequality
• A study of regularization by monotonicity
• Finite-dimensional approximation of tikhonov regularized solutions of non-linear ill-posed problems
• Uniqueness of monotone solutions to a non-linear Fredholm integral equation
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Weakly closed nonlinear operators and parameter identification in parabolic equations by tikhonov regularization
• Integral Inequalities for Equimeasurable Rearrangements

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