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Math @ Duke
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Publications [#329006] of Tau S. Lim
Papers Published
- Lim, TS; Zlatoš, A, Transition fronts for inhomogeneous fisher-KPP reactions and non-local diffusion,
Transactions of the American Mathematical Society, vol. 368 no. 12
(January, 2016),
pp. 8615-8631 [doi]
(last updated on 2020/08/05)
Abstract: © 2016 American Mathematical Society. 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.
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