IDENTIFICATION OF EXTRAPOLATION SPACES FOR UNBOUNDED OPERATORS

DOI10.1080/16073606.1996.9631827zbMath0863.47024OpenAlexW2062486072MaRDI QIDQ4886286

Gregor Nickel, Rainer Nagel, Silvia Romanelli

Publication date: 12 June 1997

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1996.9631827

zbMATH Keywords

perturbation problemextrapolation spacesCauchy problem on the original spacestrongly continuous semigroups of linear operators on Banach spaces

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

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Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• Maximal regularity for evolution equations by interpolation and extrapolation
• Hölder classes with boundary conditions as interpolation spaces
• Vector-valued Laplace transforms and Cauchy problems
• Parabolic evolution equations in interpolation and extrapolation spaces
• Hyperbolic evolution semigroups on vector valued function spaces
• Evolutionary semigroups and Lyapunov theorems in Banach spaces
• Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations
• Analytic semigroups and optimal regularity in parabolic problems

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