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math.AP2020
Instability and nonordering of localized steady states to a classs of reaction-diffusion equations in
Christos Sourdis
We show that the elliptic problem in , , with and does not have nontrivial stable solutions that decay to zero at…
math.AP2020
A one-dimensional symmetry result for entire solutions to the Fisher-KPP equation
Christos Sourdis
We consider the Fisher-KPP reaction-diffusion equation in the whole space. We prove that if a solution has, to main order and for all times (positive and negative), the same expone…