Backward Euler Scheme, Singular Hölder Norms, and Maximal Regularity for Parabolic Difference Equations

DOI10.1080/01630560701285594zbMath1120.35060OpenAlexW2010335385MaRDI QIDQ3444668

Davide Guidetti

Publication date: 4 June 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701285594

zbMATH Keywords

difference equationssectorial operatorparabolic equationsreal interpolationmaximal regularitybackward Euler scheme

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Discrete version of topics in analysis (39A12)

Related Items

Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems ⋮ A-Stable Time Discretizations Preserve Maximal Parabolic Regularity ⋮ A note on the right-hand side identification problem arising in biofluid mechanics ⋮ Discrete maximal parabolic regularity for Galerkin finite element methods ⋮ Well-posedness of the right-hand side identification problem for a parabolic equation

Cites Work

• Intermediate Schauder estimates
• On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems
• Well-posedness of delay parabolic difference equations
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Backward Euler Scheme, Singular Hölder Norms, and Maximal Regularity for Parabolic Difference Equations