Pulsating fronts for nonlocal dispersion and KPP nonlinearity
نویسندگان
چکیده
In this paper we are interested in propagation phenomena for nonlocal reaction-diffusion equations of the type: ∂u ∂t = J ∗ u− u+ f(x, u) t ∈ R, x ∈ R , where J is a probability density and f is a KPP nonlinearity periodic in the xvariables. Under suitable assumptions we establish the existence of pulsating fronts describing the invasion of the 0 state by an heterogeneous state. We also give a variational characterization of the minimal speed of such pulsating fronts and exponential bounds on the asymptotic behaviour of the solution.
منابع مشابه
Uniqueness of monostable pulsating wave fronts for time periodic reaction-diffusion equations
Keywords: Reaction–diffusion equations Pulsating wave fronts KPP and monostable nonlinearities Uniqueness a b s t r a c t We establish the uniqueness of pulsating wave fronts for reaction–diffusion equations in time periodic media with monostable nonlinearities. For the Kolmogorov–Petrovsky– Piskunov (KPP) type nonlinearity, this result provides a complete classification of all types of KPP pul...
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