Maximal regularity for non-autonomous evolution equations governed by forms having less regularity

DOI10.1007/s00013-015-0783-0zbMath1321.35113arXiv1411.0139OpenAlexW855183951MaRDI QIDQ2355908

El Maati Ouhabaz

Publication date: 28 July 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0139

zbMATH Keywords

maximal regularitysesquilinear formsnon-autonomous evolution equationsdifferential operators with boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Initial value problems for second-order parabolic systems (35K45) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (11)

J. L. Lions' problem on maximal regularity ⋮ On evolution equations governed by non-autonomous forms ⋮ Hölder-estimates for non-autonomous parabolic problems with rough data ⋮ The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions ⋮ Non-autonomous maximal regularity in Hilbert spaces ⋮ Lions' representation theorem and applications ⋮ Lions' maximal regularity problem with \(H^{\frac{1}{2}}\)-regularity in time ⋮ Non-autonomous right and left multiplicative perturbations and maximal regularity ⋮ Solvability of initial boundary value problems for non-autonomous evolution equations ⋮ A note on the norm-continuity for evolution families arising from non-autonomous forms ⋮ Maximal regularity for non-autonomous Robin boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximal regularity for evolution equations governed by non-autonomous forms
• Maximal regularity for non-autonomous evolution equations
• Maximal regularity for non-autonomous Schrödinger type equations
• The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
• The heat equation with generalized Wentzell boundary condition.
• A regularity theorem for parabolic equations
• Maximal regularity for non-autonomous Robin boundary conditions

This page was built for publication: Maximal regularity for non-autonomous evolution equations governed by forms having less regularity