23-64 Serena Dipierro, Edoardo Proietti Lippi, and Enrico Valdinoci

Some maximum principles for parabolic mixed local/nonlocal operators (63K, LateX) Nov 10, 23

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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. Moreover, they play an important role in the analysis of population dynamics involving the so-called Allee effect. This is particularly relevant when studying biological populations, since the Allee effect detects a critical density below which the population is severely endangered and at risk of extinction.

Files: 23-64.src( 23-64.keywords , MaxPr-final.tex )