PDEs, MP and HA Seminar, Friday 1st February 2008, 1.50pm, Bloc 627

Speaker: Ioan Bejenaru, Texas A&M
Title: Global well-posedness for the Maxwell-Schroedinger
system in the energy space

We consider the Maxwell-Schroedinger system in 3D (the physical context) and
question the global existence of solutions for initial data in H^1 \times H^1.
This is a natural space since the system formally conserves an energy at this 
level of regularity. We establish existence, uniqueness and continuity of 
solutions withrespect to initial data.