The APDE seminar on Monday, 4/13, will be given by Ioan Bejenaru (UCSD) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Adam Black (adamblack@berkeley.edu).

Title: An effective resolution space for the Schroedinger equation

Abstract: In the analysis of nonlinear dispersive PDEs it is important to design resolution spaces which replicate key estimates available for free solutions. While most resolution spaces transfer the linear estimates, also known as Strichartz estimates, this is not always the case for bilinear/multilinear restriction estimates. In this talk we propose a new structure which transfers the classical bilinear L^2 estimate without loss, among other desirable properties. This is done in the context of the Schroedinger equation.