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arXiv · 2406.08883

Semigroups generated in Lp-spaces by some dispersal process including semi-permeability conditions at the interface

Laïd Djilali·Rabah Labbas·Ahmed Medeghri·Abdallah Menad·Alexandre Thorel
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Abstract

We study an elliptic differential equation set in two habitats under semi-permeability conditions at the interface. This equation describes some dispersal process in population dynamics. Using functional calculus and results in Lutz Weis [22] among others, we show that the associated space operator generates an analytic semigroup in Lp-spaces.

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Laïd Djilali, Rabah Labbas, Ahmed Medeghri, Abdallah Menad, Alexandre Thorel. 2024-06-13. Semigroups generated in Lp-spaces by some dispersal process including semi-permeability conditions at the interface. https://arxiv.org/abs/2406.08883

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