Sagun Chanillo (Rutgers)

Title: Bourgain-Brezis inequalities, applications and Borderline Sobolev inequalities on Riemannian Symmetric spaces of non-compact type.
 

Abstract: Bourgain and Brezis discovered a remarkable inequality which is borderline for the Sobolev inequality in Eulcidean spaces. In this talk we obtain these inequalities on nilpotent Lie groups and on Riemannian symmetric spaces of non-compact type. We obtain applications to Navier Stokes eqn in 2D and to Strichartz inequalities for wave and Schrodinger equations and to the Maxwell equations for Electromagnetism. These results were obtained jointly with Jean Van Schaftingen and Po-lam Yung.

For zoom meeting information, please contact dmitry.jakobson [at] mcgill.ca