Homotopy-like perturbation: General results and applications
type: Item
instance of: scholarly article
title: Homotopy-like perturbation: General results and applications
zbMATH Open document ID: 0699.47029
DOI: 10.1007/BF01237568
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: As the author stresses the aim of the paper is: a) to unify and simplify a number of proofs of known and frequently used perturbation results related to the generation of contraction semigroups or to the cogeneration of resolvent families, and b) to exhibit and clarify the close connection between very different matters such as additive perturbations, singular ``time-change'' perturbations, and certain important aspects of potential theory. In order to achieve that goal, part I of the paper contains two abstract perturbation results, while part II is dedicated to the applications mentioned above.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 47A55
zbMATH DE Number: 4146911
zbMATH Keywords: \(C_ 0\)-semigroups
zbMATH Keywords: generation of contraction semigroups
zbMATH Keywords: cogeneration of resolvent families
zbMATH Keywords: additive perturbations
zbMATH Keywords: singular ``time-change'' perturbations
author: Günter Lumer
reviewed by: Volker Wrobel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4146911