Convergence rates for solutions of inhomogeneous ill-posed problems in Banach space with sufficiently smooth data

DOI10.1007/978-3-030-51945-2_12zbMath1494.47016OpenAlexW3143429128MaRDI QIDQ1980916

Matthew A. Fury

Publication date: 9 September 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-51945-2_12

zbMATH Keywords

regularizationholomorphic semigroupill-posed Cauchy problem\( C_0 \) semigroupinfinitesimal generator of a semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• Regularization methods in Banach spaces.
• An identification problem for a linear evolution equation in a Banach space and applications
• Fractional powers of closed operators and the semigroups generated by them
• Variational methods in imaging
• Continuous dependence on modeling for nonlinear ill-posed problems
• Semigroups of linear operators and applications to partial differential equations
• Entire solutions of the abstract Cauchy problem
• The final value problem for evolution equations
• Logarithmic convexity results for holomorphic semigroups
• Regularization and convergence for ill-posed backward evolution equations in Banach spaces
• \(C\)-semigroups and the Cauchy problem
• Regularization for ill-posed Cauchy problems associated with generators of analytic semigroups
• Identification of the pollution source of a parabolic equation with the time-dependent heat conduction
• On a backward parabolic problem with local Lipschitz source
• Modified quasi-reversibility method for final value problems in Banach spaces
• The functional calculus for sectorial operators
• Structural stability for ill-posed problems in Banach space
• Logarithmic well-posed approximation of the backward heat equation in Banach space
• Inverse Problems
• Continuous Dependence on Modeling in Banach Space Using a Logarithmic Approximation
• Approximation of a parabolic non-linear evolution equation backwards in time
• General theory of the ill-posed Cauchy problem
• Regularization for a class of ill-posed Cauchy problems
• Properties of solutions of ordinary differential equations in banach space

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