Analysis and PDE Seminar Homepage, Spring 2014
Time: Thursday, 2:15pm.
Wednesday, April 2, 4-5pm, 383N (geometry seminar slot, unusual date/time/room):
Setsuro Fujiie (Ritsumeikan University)
``Semiclassical distribution of resonances created by homoclinic trajectories''
Abstract: We consider the Schrödinger operator −h^2 ∆ + V (x) in the multidimensional Euclidean space with a semiclassical parameter h and a smooth potential decaying at infinity. Assuming that the underlying classical mechanics on the energy surface of a fixed positive energy has a trapped set consisting of homoclinic trajectories, we describe the precise asymptotic distribution of resonances in a complex neighborhood of this energy. The method is based on the microlocal study of solutions near the trapped set, especially near the hyperbolic fixed point.
This is a joint work with Jean-Francois Bony, Thierry Ramond and Maher Zerzeri.
Monday, May 5, Bay Area Microlocal Analysis Seminar at
- 2:15-3:15pm, Room 381T:
- 4-5pm, Room 381U: