BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Reaction-diffusion equations in the half-space Graham, Cole


The interplay between reaction-diffusion evolution and spatial boundary has received a great deal of recent attention. In this talk, we consider an essential example: reaction-diffusion equations in the half-space. Using the maximum principle and the sliding method, we handle a host of reactions (monostable, ignition, and bistable) under a wide class of boundary conditions (Dirichlet and Robin). We consider the existence and uniqueness of steady states, the asymptotic speed of propagation, and the existence of traveling waves. This is joint work with Henri Berestycki.

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