English

Positive semigroups and perturbations of boundary conditions

Functional Analysis 2020-06-03 v2

Abstract

We present a generation theorem for positive semigroups on an L1L^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.

Keywords

Cite

@article{arxiv.1807.06992,
  title  = {Positive semigroups and perturbations of boundary conditions},
  author = {Piotr Gwiżdż and Marta Tyran-Kamińska},
  journal= {arXiv preprint arXiv:1807.06992},
  year   = {2020}
}