The steady states of strong-KPP reactions in general domains

Published 13 Dec 2022 in math.AP | (2212.06611v1)

Abstract: We study the uniqueness of steady states of strong-KPP reaction--diffusion equations in general domains under various boundary conditions. We show that positive bounded steady states are unique provided the domain satisfies a certain spectral nondegeneracy condition. We also formulate a number of open problems and conjectures.

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