Regularization for a class of ill-posed evolution problems in Banach space

DOI10.1007/S00233-011-9353-3zbMath1267.47014OpenAlexW1978644850MaRDI QIDQ1935466

Matthew A. Fury, Rhonda J. Hughes

Publication date: 15 February 2013

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-011-9353-3

zbMATH Keywords

regularizationevolution equationsBanach spaceCauchy problemsill-posed problemssemigroup theoryHölder conditional stability

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ill-posed problems for PDEs (35R25) Linear differential equations in abstract spaces (34G10) Linear operators and ill-posed problems, regularization (47A52)

Related Items (4)

A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source ⋮ \(C\)-regularized solutions of ill-posed problems defined by strong strip-type operators ⋮ Stability in Kelvin-Voigt poroelasticity ⋮ Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type

Cites Work

• Integrated semigroups
• Continuous dependence results for inhomogeneous ill-posed problems in Banach space
• Semigroups of linear operators and applications to partial differential equations
• Entire solutions of the abstract Cauchy problem
• The final value problem for evolution equations
• Approximation of regularized evolution operators
• Regularization for ill-posed Cauchy problems associated with generators of analytic semigroups
• Structural stability for ill-posed problems in Banach space
• Integrated semigroups and differential operators on \(L^ p\) spaces
• Powers of Generators of Holomorphic Semigroups
• Linear Evolution Equations in Banach Spaces
• Regularization for a class of ill-posed Cauchy problems
• Abstract Evolution Equations
• Properties of solutions of ordinary differential equations in banach space
• Regularization for ill-posed parabolic evolution problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Regularization for a class of ill-posed evolution problems in Banach space