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Asymptotic spreading in heterogeneous diffusive excitable media |
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| Authors: | Henri Berestycki François Hamel |
| Institution: | a EHESS, CAMS, 54 Boulevard Raspail, F-75006 Paris, France b Université Aix-Marseille III, LATP, Faculté des Sciences et Techniques, Avenue Escadrille Normandie-Niemen, F-13397 Marseille cedex 20, France c ENS, DMA, 45 rue d'Ulm, F-75230 Paris cedex 05, France |
| Abstract: | We establish propagation and spreading properties for nonnegative solutions of nonhomogeneous reaction-diffusion equations of the type: t∂u−∇⋅(A(t,x)∇u)+q(t,x)⋅∇u=f(t,x,u) |
| Keywords: | Propagation and spreading properties Heterogeneous reaction-diffusion equations Maximum principles Principal eigenvalues |
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