Quasilinear Schrödinger equations

Series: 
PDE Seminar
Tuesday, January 27, 2015 - 15:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
University of North Carolina at Chapel Hill
We survey some recent results by the speaker, Jason Metcalfe and Daniel Tataru for small data local well-posedness of quasilinear Schrödinger equations. In addition, we will discuss some applications recently explored with Jianfeng Lu and recent progress towards the large data short time problem.  Along the way, we will attempt to motivate analysis of the problem with connections to problems from Density Functional Theory.