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20032011
most citedNonlocal anisotropic dispersal with monostable nonlinearity

177 citations

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math.AP2011★ 109 cited

Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity

Jerome Coville, Juan Davila, Salome Martinez

Let , , $\int_{\tiny$\mathbb{R}$} J = 1$ and consider the nonlocal diffusion operator . We study the equation $\mathcal…

math.AP2011★ 177 cited

Nonlocal anisotropic dispersal with monostable nonlinearity

Jerome Coville, Juan Davila, Salome Martinez

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 exist…