Sharp large time behaviour in $ N $-dimensional Fisher-KPP equations
Sharp large time behaviour in $ N $-dimensional Fisher-KPP equations
We study the large time behaviour of the Fisher-KPP equation $ \partial_t u = \Delta u +u-u^2 $ in spatial dimension $ N $, when the initial datum is compactly supported. We prove the existence of a Lipschitz function $ s^\infty $ of the unit sphere, such that $ u(t, …