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Existence of bistable waves for a nonlocal and nonmonotone reaction-diffusion equation
Published online by Cambridge University Press: 23 January 2019
Abstract
Reaction-diffusion equation with a bistable nonlocal nonlinearity is considered in the case where the reaction term is not quasi-monotone. For this equation, the existence of travelling waves is proved by the Leray-Schauder method based on the topological degree for elliptic operators in unbounded domains and a priori estimates of solutions in properly chosen weighted spaces.
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- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 150 , Issue 2 , April 2020 , pp. 721 - 739
- Copyright
- Copyright © Royal Society of Edinburgh 2019
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