Ill-posed problems associated with sectorial operators in Banach space

DOI10.1016/j.jmaa.2020.124484zbMath1486.47022OpenAlexW3047736312MaRDI QIDQ2199315

Matthew A. Fury

Publication date: 16 September 2020

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.2020.124484

zbMATH Keywords

Banach spacesectorial operatorill-posed problemsemigroup of linear operatorsbackward heat equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear ill-posed problems (47J06) Linear operators and ill-posed problems, regularization (47A52) Sectorial operators (47B12)

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Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations, \(C\)-regularized solutions of ill-posed problems defined by strong strip-type operators, Stability in Kelvin-Voigt poroelasticity

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