Ill-posed problems, \(C_{0}\)-semigroups and the Showalter regularization

DOI10.1016/j.jmaa.2004.06.028zbMath1077.47013OpenAlexW2048968536MaRDI QIDQ1766727

Claus Müller, Eberhard Schock

Publication date: 8 March 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.028

zbMATH Keywords

ill-posed problemsabstract Cauchy problemsShowalter regularization

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear operators and ill-posed problems, regularization (47A52)

Related Items (5)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Some extended results on a nonlinear ill-posed heat equation and remarks on a general case of nonlinear terms ⋮ On the approximations of derivatives of integrated semigroups. II ⋮ Stability properties for solution operators ⋮ Stochastic Regularization Method for Backward Cauchy Problem in Banach Spaces

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Regularization of ill-posed problems involving unbounded operators in Banach spaces
• Toying with Jordan matrices
• Approximation of local convoluted semigroups
• Ill-posed equations with transformed argument
• On convergence of approximations in the regularization method and the Tikhonov regularization method on the n-th order
• On pseudo—optimal parameter choices and stopping rules for regularization methods in banach spaces_∗
• Representation and Computation of the Pseudoinverse
• Fractional powers of operators
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