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

2024/06/13 by Djilali, Laïd, Labbas, Rabah, Medeghri, Ahmed +2 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.08883

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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