Non-local Anisotropic Dispersal with Monostable Nonlinearity
نویسندگان
چکیده
We study the travelling wave problem J ⋆ u− u− cu + f(u) = 0 in R, u(−∞) = 0, u(+∞) = 1 with an asymmetric kernel J and a monostable nonlinearity. We prove the existence of a minimal speed, and under certain hypothesis the uniqueness of the profile for c 6= 0. For c = 0 we show examples of non-uniqueness.
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تاریخ انتشار 2007