Nonlocal anisotropic dispersal with monostable nonlinearity
Abstract
We study the travelling wave problem J - 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 = 0. For c = 0 we show examples of nonuniqueness.
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