A note on space approximation of parabolic evolution equations

DOI10.1016/j.amc.2003.08.094zbMath1067.65057OpenAlexW2020125648WikidataQ59225727 ScholiaQ59225727MaRDI QIDQ1881699

Erika Hausenblas

Publication date: 14 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.094

zbMATH Keywords

convergenceabstract Cauchy problemBesov spacesBanach spacesemigroup theoryinterpolation spacesparabolic evolution equations\(L^p\) spacesspace approximation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear operator methods in interpolation, moment and extension problems (47A57) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
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