Doubly nonlocal Fisher-KPP equation: Speeds and uniqueness of traveling waves

2018/04/26 by Finkelshtein, Dmitri, Kondratiev, Yuri, Tkachov, Pasha
#35B40 #35C07 #35K57 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1804.10259

Abstract

We study traveling waves for a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions. We describe relations between speeds and asymptotic of profiles of traveling waves, and prove the uniqueness of the profiles up to shifts.

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