One-Parameter Semigroups for Linear Evolution Equations

DOI10.1007/b97696zbMath0952.47036OpenAlexW4300374450WikidataQ56656037 ScholiaQ56656037MaRDI QIDQ4269120

Rainer Nagel, Klaus-Jochen Engel

Publication date: 31 October 1999

Published in: Graduate Texts in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b97696

zbMATH Keywords

stabilitySobolev spacesperturbationuniquenesswell-posednessapproximationsemigroups of linear operatorsHölder spacesspectral theoryergodic theoryabstract harmonic analysislinear evolution equationsCauchy's functional equationFavard spacesfractional powers of generatorsstrongly continuous semigroup of operatorsTrotter-Kato approximationDesch-Schappacher and the Miyadera-Voigt perturbation theoremsmultiplication and translation semigroupsspectral-mapping theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Control problems for functional-differential equations (34K35) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Initial value problems for higher-order parabolic equations (35K30)