Front propagation in Fisher-KPP equations with fractional diffusion

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dc.creatorCabre, Xavier
dc.creatorRoquejoffre, Jean-Michel
dc.date2009-05-08
dc.date.accessioned2026-07-07T13:13:06Z
dc.date.available2026-07-07T13:13:06Z
dc.descriptionWe study in this note the Fisher-KPP equation where the Laplacian is replaced by the generator of a Feller semigroup with slowly decaying kernel, an important example being the fractional Laplacian. Contrary to what happens in the standard Laplacian case, where the stable state invades the unstable one at constant speed, we prove here that invasion holds at an exponential in time velocity. These results provide a mathematically rigorous justification of numerous heuristics about this model.
dc.identifierhttps://arxiv.org/abs/0905.1299
dc.identifierhttp://arxiv.org/abs/0905.1299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229783
dc.subjectAnalysis of PDEs
dc.titleFront propagation in Fisher-KPP equations with fractional diffusion
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