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

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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.

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Authors and Affiliations

  1. Institut für Mathematik, Technische Universität Hamburg-Harburg, 21073, Hamburg, Germany

    Christian Seifert

  2. Fachrichtung Mathematik, Technische Universität Dresden, 01062, Dresden, Germany

    Marcus Waurick

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  1. Christian Seifert
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  2. Marcus Waurick
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Correspondence to Christian Seifert.

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Seifert, C., Waurick, M. Perturbations of positive semigroups on \(L_p\)-spaces. Positivity 20, 467–481 (2016). https://doi.org/10.1007/s11117-015-0366-0

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