Some maximum principles for parabolic mixed local/nonlocal operators
Serena Dipierro,
Edoardo Proietti Lippi,
Enrico Valdinoci
Abstract:The goal of this paper is to establish new Maximum Principles for parabolic equations in the framework of mixed local/nonlocal operators.
In particular, these results apply to the case of mixed local/nonlocal Neumann boundary conditions, as introduced by Dipierro, Proietti Lippi, and Valdinoci [Ann. Inst. H. Poincaré C Anal. Non Linéaire 40 (2023), pp. 1093–1166].
Moreover, they play an important role in the analysis of population dynamics involving the so-called Allee effect, which is performed by Dipierro,… Show more
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