Title: Global solutions of the compressible Navier-Stokes equations Abstract : In this talk, I will talk about the existence of global weak solutions for the compressible Navier-Stokes equations, in particular, the

Title: Bergman and Szego projections, Extremal Problems, and Square Functions Abstract: We study estimates for Hardy space norms of analytic projections. We first find a sufficient condition for the Bergman projection of

Title: The Fractional Porous Medium Equation on Manifolds with Conic Singularities Abstract: Due to the need to model long range diffusive interaction, during the last decade there has been a

Title: Harmonic Conjugation in Variable Exponent Harmonic Bergman Spaces Abstract: I will talk about the harmonic conjugation in variable harmonic Bergman space. In the first part of the talk, I'll provide an

Title: Regularity Estimates for PDE with Data in Non-Standard Spaces Abstract: In this talk I present recent joint work with D. Cruz-Uribe. Given a weak super-solution $u\in W^{1,2}_0(\Omega)$ of the