Maximal regularity: Positive counterexamples on UMD-Banach lattices and exact intervals for the negative solution of the extrapolation problem

DOI10.1090/PROC/13012zbMath1337.47057arXiv1411.4240OpenAlexW276980544WikidataQ124981261 ScholiaQ124981261MaRDI QIDQ2790918

Stephan Fackler

Publication date: 8 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4240

zbMATH Keywords

\(H^\infty\)-calculusmaximal regularitySchauder basescounterexamples

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (2)

Euclidean Structures and Operator Theory in Banach Spaces ⋮ J.-L. Lions' problem concerning maximal regularity of equations governed by non-autonomous forms

Cites Work

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• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Tools for maximal regularity
• A solution to the problem of \(L^p\)-maximal regularity
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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