Maximal regularity for the damped wave equations

DOI10.1007/s41808-020-00084-8zbMath1451.35096OpenAlexW3048607832MaRDI QIDQ2210155

Mahdi Achache

Publication date: 5 November 2020

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-020-00084-8

zbMATH Keywords

non-autonomous evolution equationsminimal regularity assumptions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Non-autonomous maximal regularity for fractional evolution equations ⋮ On Kato square root problem for a parabolic operator and applications ⋮ Decay estimates in time for fractional evolution equations ⋮ Maximal regularity for semilinear non-autonomous evolution equations in temporally weighted spaces

Cites Work

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• J.-L. Lions' problem concerning maximal regularity of equations governed by non-autonomous forms
• \(L^{p}\)-maximal regularity for nonautonomous evolution equations
• Maximal regularity for non-autonomous evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Fractional powers of dissipative operators
• Lions' maximal regularity problem with \(H^{\frac{1}{2}}\)-regularity in time
• Nonautonomous maximal \(L^p\)-regularity under fractional Sobolev regularity in time
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• J. L. Lions' problem on maximal regularity
• Maximal regularity for non-autonomous second order Cauchy problems
• Maximal regularity for non-autonomous Robin boundary conditions
• Vector-valued Laplace Transforms and Cauchy Problems
• Maximal regularity for second order non-autonomous Cauchy problems
• Non-autonomous right and left multiplicative perturbations and maximal regularity
• On the Comparability of A 1/2 and A ∗ 1/2
• Analytic semigroups and optimal regularity in parabolic problems

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