Perturbations of positive semigroups on Lp-spaces

Marcus Waurick; Christian Seifert

doi:10.1007/s11117-015-0366-0

Perturbations of positive semigroups on Lp-spaces

Marcus Waurick, Christian Seifert

Department of Mathematical Sciences

Technische Universität Hamburg-Harburg

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	467-481
Journal	Positivity
Volume	20
Issue number	2
Early online date	24 Sept 2015
DOIs	https://doi.org/10.1007/s11117-015-0366-0
Publication status	Published - 30 Jun 2016

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10.1007/s11117-015-0366-0

http://arxiv.org/abs/1412.5383

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title = "Perturbations of positive semigroups on Lp-spaces",

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.",

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AB - 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.

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SP - 467

EP - 481

JO - Positivity

JF - Positivity

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Perturbations of positive semigroups on Lp-spaces

Abstract

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