Global Well-Posedness for the Homogeneous Landau Equation
Speaker: Neston Guillen, UCLA
Location: Warren Weaver Hall 1302
Date: Thursday, May 16, 2013, 11 a.m.
In joint work with Maria Gualdani we consider the homogeneous Landau equation from plasma physics. Both global well-posedness and exponential decay to equilibrium are proved assuming only boundedness and spatial decay of the initial distribution. In particular, we can handle discontinuous initial conditions that might be far from equilibrium. Despite the equation not having a maximum principle the key steps of the proof rely on barrier arguments and parabolic regularity theory.