Location: HILL 705
Date & time: Thursday, 16 November 2017 at 12:00PM - 1:00PM
Abstract: I will review the problem of Global existence for dispersive equations, in particular, supercritical equations. These equations which play a fundamental role in science, have been , and remain a major challenge in the field of Partial Differential Equations. They come in various forms, derived from Geometry, General Relativity, Fluid Dynamics , Field Theory. I present a new approach to study the asymptotic behavior of wave equations, supercritical and others, and construct global solutions with large initial data.I will then describe current extensions to Nonlinear Schroedinger Equations.