Maximal space regularity for abstract linear non-autonomous parabolic equations

DOI10.1016/0022-1236(85)90050-3zbMath0563.47028OpenAlexW2047333025MaRDI QIDQ1057463

Paolo Acquistapace, Brunello Terreni

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90050-3

zbMATH Keywords

interpolation spacesabstract regularityinfinitesimal operator of an analytic semigrouplinear non-autonomous Cauchy problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Groups and semigroups of linear operators (47D03) Abstract interpolation of topological vector spaces (46M35)

Related Items (7)

Existence and sharp regularity results for linear parabolic non- autonomous integro-differential equations ⋮ A unified approach to abstract linear nonautonomous parabolic equations ⋮ On the evolution operator for abstract parabolic equations ⋮ Solvability of initial boundary value problems for non-autonomous evolution equations ⋮ Bounded solutions of linear periodic abstract parabolic equations ⋮ Unnamed Item ⋮ Estimating long-term behavior of periodically driven flows without trajectory integration

Cites Work

• Some existence and regularity results for abstract non-autonomous parabolic equations
• Semigroups of linear operators and applications to partial differential equations
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Equations d'évolution abstraites non linéaires de type parabolique
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• Classical solutions of nonautonomous Riccati equations arising in parabolic boundary control problems. II
• On a class of interpolation spaces
• Remarks on pseudo-resolvents and infinitesimal generators of semi-groups
• Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations
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