Rivière-Fabes Symposium

Henri Berestycki - keynote speaker
École des hautes études en sciences sociales (EHESS), Paris

The question of uniqueness of steady states for reaction–diffusion equations in general domains

At long times, reaction–diffusion processes tend to settle into steady states. This begs the question: are these states unique? In this talk, Professor Henri Berestycki will report on ongoing work with Cole Graham on this topic. They study a variety of reaction types, boundary conditions, and domains, and they encounter an unexpected wealth of behavior. To frame these results, Prof. Berestycki will recall some earlier works on qualitative properties of semi-linear elliptic equations in unbounded domains as well as some elements of the theory of generalized principal eigenvalues. Prof. Berestycki will also mention a host of open problems.