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.