On continuity properties of semigroups in real interpolation spaces

DOI10.1007/s00028-020-00652-4zbMath1501.47069OpenAlexW3113915840MaRDI QIDQ2062853

Peer Christian Kunstmann

Publication date: 3 January 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-020-00652-4

zbMATH Keywords

Navier-Stokes equationsnonlinear Schrödinger equationsreal interpolationsectorial operatorsbi-continuous semigroupsabstract Besov spaces

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Linear differential equations in abstract spaces (34G10)

Cites Work

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• The functional calculus for sectorial operators
• Laplace Transforms and α-Times Integrated Semigroups
• $H^∞$ functional calculus in real interpolation spaces
• Perturbations of bi-continuous semigroups

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