An explicit counterexample for the \(L^p\)-maximal regularity problem

DOI10.1016/j.crma.2013.01.013zbMath1266.47063OpenAlexW1989403083WikidataQ124951753 ScholiaQ124951753MaRDI QIDQ1942078

Stephan Fackler

Publication date: 15 March 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.01.013

zbMATH Keywords

counterexamplemaximal regularityholomorphic semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) General theory of linear operators (47A99) Linear differential equations in abstract spaces (34G10) (C)-semigroups, regularized semigroups (47D60)

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A refinement of Baillon’s theorem on maximal regularity ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ The Kalton-Lancien theorem revisited: maximal regularity does not extrapolate ⋮ Maximal regularity: Positive counterexamples on UMD-Banach lattices and exact intervals for the negative solution of the extrapolation problem

Cites Work

• The Kalton-Lancien theorem revisited: maximal regularity does not extrapolate
• Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• A solution to the problem of \(L^p\)-maximal regularity
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
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