Planar traveling waves for nonlocal dispersion equation with monostable nonlinearity
نویسندگان
چکیده
منابع مشابه
Planar Traveling Waves for Nonlocal Dispersion Equation with Monostable Nonlinearity
In this paper, we study a class of nonlocal dispersion equation with monostable nonlinearity in n-dimensional space ut − J ∗ u+ u+ d(u(t, x)) = ∫ Rn fβ(y)b(u(t− τ, x− y))dy, u(s, x) = u0(s, x), s ∈ [−τ, 0], x ∈ Rn, where the nonlinear functions d(u) and b(u) possess the monostable characters like Fisher-KPP type, fβ(x) is the heat kernel, and the kernel J(x) satisfies Ĵ(ξ) = 1 − K|ξ|α + o(|ξ|...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2012
ISSN: 1078-0947
DOI: 10.3934/dcds.2012.32.3621