Maximal regularity for semilinear non-autonomous evolution equations in temporally weighted spaces

DOI10.1007/s40065-022-00390-0zbMath1501.35108OpenAlexW4297832089MaRDI QIDQ2091739

Tebbani Hossni, Achache Mahdi

Publication date: 2 November 2022

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-022-00390-0

zbMATH Keywords

temporally weighted spacestime dependent sesquilinear 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) One-parameter semigroups and linear evolution equations (47D06) Semilinear parabolic equations (35K58)

Cites Work

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• On non-autonomous maximal regularity for elliptic operators in divergence form
• J.-L. Lions' problem concerning maximal regularity of equations governed by non-autonomous forms
• Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
• Square roots of elliptic second order divergence operators on strongly Lipschitz domains: \(L ^{2}\) theory
• Lions' maximal regularity problem with \(H^{\frac{1}{2}}\)-regularity in time
• Maximal regularity for the damped wave equations
• J. L. Lions' problem on maximal regularity
• Remarks on Maximal Regularity
• Non-autonomous right and left multiplicative perturbations and maximal regularity

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