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arXiv · 2006.01560

Transport equations and perturbations of boundary conditions

Marta Tyran-Kamińska
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Abstract

We provide a new perturbation theorem for substochastic semigroups on abstract AL spaces extending Kato's perturbation theorem to non-densely defined operators. We show how it can be applied to piecewise deterministic Markov processes and transport equations with abstract boundary conditions. We give particular examples to illustrate our results.

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Marta Tyran-Kamińska. 2020-06-02. Transport equations and perturbations of boundary conditions. https://doi.org/10.1002/mma.6611

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