Nonlocal anisotropic dispersal with monostable nonlinearity

Details Nonlocal anisotropic dispersal with monostable nonlinearity Nonlocal anisotropic dispersal with monostable nonlinearity

2011-06-22

arxiv.org/abs/1106.4531v1

J. Differential Equations 244 (2008) 3080-3118

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.jde.2007.11.002

We study the travelling wave problem J\astu - u - cu' + f (u) = 0 in R,
u(-\infty) = 0, u(+\infty) = 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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