PDE seminar:Global existence of smooth solution of a 3D loglog energysupercritical wave equation
 Date

2011125 16:30 
2011125 18:00
 Place
 Faculty of Science Building #3 Room 202

Speaker/Organizer
 Tristan Roy (Kyoto University)

 The global behavior of smooth solutions of supercritical problems is
poorly understood: this is mostly due to the lack of conservation laws in
high regularity Sobolev spaces. However, when the linearity is barely
supercritical (of a loglog type), it is possible to overcome this
difficulty. One first control a long time estimate by means of
concentration and an a priori bound of the norm of the solution in a high
regularity Sobolev space; then one finds an a posteriori bound of this norm
by combining the long time estimate with an induction on time of the
Strichartz estimates.
This seminar is cohosted by the PDE seminar and the Wave seminar.