Doubly nonlocal Fisher-KPP equation: Existence and properties of traveling waves

26 Apr 2018 Finkelshtein Dmitri Kondratiev Yuri Tkachov Pasha

We consider a reaction-diffusion equation with nonlocal anisotropic diffusion and a linear combination of local and nonlocal monostable-type reactions in a space of bounded functions on $\mathbb{R}^d$. Using the properties of the corresponding semiflow, we prove the existence of monotone traveling waves along those directions where the diffusion kernel is exponentially integrable... (read more)

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