The steady states of strong-KPP reactions in general domains
Henri Berestycki, Cole Graham · arXiv (Cornell University) · 2022
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.