Seminar Analysis and Mathematical Physics: Amélie Loher (University of Cambridge)

Local behaviour of solutions to non-local kinetic equations

We discuss local regularity properties of solutions to non-local equations arising in kinetic theory. We will focus on the Strong Harnack inequality for global solutions to a non-local kinetic equation in divergence form. We will explain the connection to the Boltzmann equation and we will mention a few consequences on the asymptotic behaviour of the solutions.

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