### Hamiltonian identities for Elliptic PDEs and their applications

- Series
- PDE Seminar
- Time
- Tuesday, February 3, 2009 - 15:05 for 1.5 hours (actually 80 minutes)
- Location
- Skiles 255
- Speaker
- Changfeng Gui – University of Connecticut

In this talk I will present Hamiltonian identities for elliptic PDEs and systems of PDEs. I will also show some interesting applications of these identities to problems related to solutions of some nonlinear elliptic equations in the entire space or plane. In particular, I will give a rigorous proof to the Young's law in triple junction configuration for a vector-valued Allen Cahn model arising in phase transition; a necessary condition for the existence of certain saddle solutions for Allen-Cahn equation with asymmetric double well potential will be derived, and the structure of level sets of general saddle solutions will also be discussed.