Bounded solutions of linear periodic abstract parabolic equations

DOI10.1017/S0308210500024926zbMath0673.35041MaRDI QIDQ3826965

Alessandra Lunardi

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorestimatesgeneratorsBanach spaceanalytic semigroupevolution operatormaximal regularityunbounded time intervals

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Groups and semigroups of linear operators (47D03) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (7)

On the evolution operator for abstract parabolic equations ⋮ Stability of travelling waves with interface conditions ⋮ Existence of time-periodic strong solutions to a fluid-structure system ⋮ Periodic and almost periodic solutions for semilinear stochastic equations ⋮ Stabilizability of Time-Periodic Evolution Equations by Finite Dimensional Controls ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Local feedback stabilization of time-periodic evolution equations by finite dimensional controls

Cites Work

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• Maximal space regularity for abstract linear non-autonomous parabolic equations
• On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• \(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type
• On the evolution operator for abstract parabolic equations
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Equations of parabolic type in a Banach space

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