Quasilinear Schrödinger equations

Series
PDE Seminar
Time
Tuesday, January 27, 2015 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jeremy Marzuola – University of North Carolina at Chapel Hill
Organizer
Geng Chen
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.