Diff. Geom, Math. Phys., PDE Seminar: Kenji Nakanishi

  • Date: 11/04/2014
  • Time: 15:30
Lecturer(s):
Kenji Nakanishi, Kyoto University
Location: 

University of British Columbia

Topic: 

Global dynamics of nonlinear dispersive equations above the ground state energy

Description: 

This is a survey on the joint works with Wilhelm Schlag, Joachim Krieger and Tristan Roy. We classify global behavior of all solutions with energy up to slightly more than the ground state for the nonlinear Klein-Gordon, Schrodinger, and wave equations. The dynamics include scatteing (to 0), blow-up, and scatttering to solitons. The solutions scattering to solitons form threshold hypersurfaces in the energy space, giving a complete classification under the energy constraint. It also describes how a solution can disperse in the past and blow up in the future.

Other Information: 

Location: ESB 2012