Semigroups generated in Lp-spaces by some dispersal process including semi-permeability conditions at the interface
Analysis of PDEs
2025-08-26 v2
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.
Keywords
Cite
@article{arxiv.2406.08883,
title = {Semigroups generated in Lp-spaces by some dispersal process including semi-permeability conditions at the interface},
author = {Laïd Djilali and Rabah Labbas and Ahmed Medeghri and Abdallah Menad and Alexandre Thorel},
journal= {arXiv preprint arXiv:2406.08883},
year = {2025}
}