Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion
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- by Tau Shean Lim and Andrej Zlatoš PDF
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Abstract:
We prove existence of and construct transition fronts for a class of reaction-diffusion equations with spatially inhomogeneous Fisher-KPP type reactions and non-local diffusion. Our approach is based on finding these solutions as perturbations of appropriate solutions to the linearization of the PDE at zero. Our work extends a method introduced by one of us to study such questions in the case of classical diffusion.References
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Additional Information
- Tau Shean Lim
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- Andrej Zlatoš
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- Received by editor(s): March 3, 2014
- Received by editor(s) in revised form: October 27, 2014
- Published electronically: December 22, 2015
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 8615-8631
- MSC (2010): Primary 35K57, 35B08; Secondary 35P05
- DOI: https://doi.org/10.1090/tran/6602
- MathSciNet review: 3551583