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arXiv · 1106.4531

Nonlocal anisotropic dispersal with monostable nonlinearity

Jerome Coville·Juan Davila·Salome Martinez
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Abstract

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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Jerome Coville, Juan Davila, Salome Martinez. 2011-06-22. Nonlocal anisotropic dispersal with monostable nonlinearity. https://doi.org/10.1016/j.jde.2007.11.002

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