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arxiv: 1804.10259 · v1 · pith:7SK3E3N6new · submitted 2018-04-26 · 🧮 math.AP · math-ph· math.DS· math.MP

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

classification 🧮 math.AP math-phmath.DSmath.MP
keywords nonlocaltravelingwavesequationprofilesspeedsuniquenessanisotropic
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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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