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arXiv · 1807.06992

Positive semigroups and perturbations of boundary conditions

Piotr Gwiżdż·Marta Tyran-Kamińska
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Abstract

We present a generation theorem for positive semigroups on an $L^1$ space. It provides sufficient conditions for the existence of positive and integrable solutions of initial-boundary value problems. An application to a two-phase cell cycle model is given.

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Piotr Gwiżdż, Marta Tyran-Kamińska. 2018-07-18. Positive semigroups and perturbations of boundary conditions. https://doi.org/10.1007/s11117-019-00644-w

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