Nonlinear Partial Differential Equations
Date: April 9, 2024
Time: 4:00PM - 5:00PM
Location: BLOC 302
Speaker: Ricardo Alonso, Texas A&M University - Qatar
Title: An energy method for the Boltzmann equation: Higher integrability and boundedness of solutions
Abstract: We cover in detail an argument for proving higher integrability and uniform boundedness for solutions of the homogeneous Boltzmann equation. Techniques are reminiscent of the level set De Giorgi's method for classical elliptic/parabolic PDE. A rough idea of the method's implementation for the spatially inhomogenous problem is discussed at the end.