Perturbations of positive semigroups on Lp-spaces

Christian Seifert, Marcus Waurick

Research output: Contribution to journalArticle

Abstract

We give a characterization of a variation of constants type estimate relating two positive semigroups on (possibly different) Lp-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 σ-finite measure spaces.
LanguageEnglish
Pages467-481
Number of pages15
JournalPositivity
Volume20
Issue number2
Early online date24 Sep 2015
DOIs
Publication statusPublished - 30 Jun 2016

Fingerprint

Positive Semigroup
Lp Spaces
Perturbation
Estimate
Kernel Estimate
Measure space
Resolvent
Semigroup
Generator

Keywords

  • kernel estimates
  • perturbed semigroups
  • positive Co-semigroups

Cite this

Seifert, Christian ; Waurick, Marcus. / Perturbations of positive semigroups on Lp-spaces. In: Positivity. 2016 ; Vol. 20, No. 2. pp. 467-481.
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Perturbations of positive semigroups on Lp-spaces. / Seifert, Christian; Waurick, Marcus.

In: Positivity, Vol. 20, No. 2, 30.06.2016, p. 467-481.

Research output: Contribution to journalArticle

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