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Positivity

, Volume 20, Issue 2, pp 467–481 | Cite as

Perturbations of positive semigroups on \(L_p\)-spaces

  • Christian SeifertEmail author
  • Marcus Waurick
Article
  • 159 Downloads

Abstract

We give a characterization of a variation of constants type estimate relating two positive semigroups on (possibly different) \(L_p\)-spaces to one another in terms of corresponding estimates for the respective generators and of estimates for the respective resolvents. The results have applications to kernel estimates for semigroups induced by accretive and non-local forms on \(\sigma \)-finite measure spaces.

Keywords

Positive \(C_0\)-semigroups Kernel estimates Perturbed semigroups 

Mathematics Subject Classification

35B09 35B20 35K08 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Institut für MathematikTechnische Universität Hamburg-HarburgHamburgGermany
  2. 2.Fachrichtung MathematikTechnische Universität DresdenDresdenGermany

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