Heat-kernels and maximal \(L^p\)-\(L^q\)-estimates: The non-autonomous case

DOI10.1007/BF02511541zbMath0979.35028OpenAlexW2045912400MaRDI QIDQ1588370

Sylvie Monniaux, Matthias Hieber

Publication date: 21 February 2002

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59655

zbMATH Keywords

conditions on the family of resolvent operatorsnon-autonomous evolution equation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45)

Related Items

Stability for non-autonomous linear evolution equations with L p -maximal regularity ⋮ \(L^{p}\)-maximal regularity for nonautonomous evolution equations ⋮ Diffusive stability of oscillations in reaction-diffusion systems ⋮ Solvability of initial boundary value problems for non-autonomous evolution equations ⋮ Nonautonomous maximal \(L^p\)-regularity under fractional Sobolev regularity in time ⋮ Maximal regularity for non-autonomous Schrödinger type equations ⋮ Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time ⋮ If time were a graph, what would evolution equations look like? ⋮ Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces

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