A Fisher-Kolmogorov equation with finite speed of propagation

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Abstract

In this paper we study a Fisher-Kolmogorov type equation with a flux limited diffusion term and we prove the existence and uniqueness of finite speed moving fronts and the existence of some explicit solutions in a particular regime of the equation. © 2010 Elsevier Inc. All rights reserved.

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Andreu, F., Caselles, V., & Mazón, J. M. (2010). A Fisher-Kolmogorov equation with finite speed of propagation. Journal of Differential Equations, 248(10), 2528–2561. https://doi.org/10.1016/j.jde.2010.01.005

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