Global Existence of a Free Boundary Problem with Non--Standard Sources

PDE Seminar
Tuesday, September 1, 2009 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 255
Lincoln Chayes – UCLA
Zhiwu Lin
This seminar concerns the analysis of a PDE, invented by J.M. Lasry and P.L. Lions whose applications need not concern us. Notwithstanding, the focus of the application is the behavior of a free boundary in a diffusion equation which has dynamically evolving, non--standard sources. Global existence and uniqueness are established for this system. The work to be discussed represents a collaborative effort with Maria del Mar Gonzalez, Maria Pia Gualdani and Inwon Kim.