Diff. Geom, Math. Phys., PDE Seminar: Kenji Nakanishi
Topic
Global dynamics of nonlinear dispersive equations above the ground state energy
Speakers
Details
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.
Additional Information
Location: ESB 2012
Kenji Nakanishi, Kyoto University
Kenji Nakanishi, Kyoto University
This is a Past Event
Event Type
Scientific, Seminar
Date
November 4, 2014
Time
-
Location