J. L. Lions' problem on maximal regularity

DOI10.1007/s00013-017-1031-6zbMath1377.35045arXiv1612.03676OpenAlexW2562738551MaRDI QIDQ2362764

Stephan Fackler, Dominik Dier, Wolfgang Arendt

Publication date: 14 July 2017

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

Full work available at URL: https://arxiv.org/abs/1612.03676

zbMATH Keywords

sesquilinear formsnon-autonomous evolution equationstime-dependent forms

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic equations (35K20) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (11)

Non-autonomous maximal regularity for forms given by elliptic operators of bounded variation ⋮ Regularity properties for evolution families governed by non-autonomous forms ⋮ \(L^p (I,C^{\alpha} (\Omega))\) regularity for diffusion equations with non-smooth data ⋮ Lions' representation theorem and applications ⋮ Maximal regularity for the damped wave equations ⋮ Lions' maximal regularity problem with \(H^{\frac{1}{2}}\)-regularity in time ⋮ Nonlocal self-improving properties: a functional analytic approach ⋮ Nonautonomous maximal \(L^p\)-regularity under fractional Sobolev regularity in time ⋮ Maximal regularity for non-autonomous evolutionary equations ⋮ If time were a graph, what would evolution equations look like? ⋮ Maximal regularity for semilinear non-autonomous evolution equations in temporally weighted spaces

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