Wave seminar Radial solutions of supercritical wave equations in dimension 3
 Date

20141212 16:30 
20141212 18:00
 Place
 Faculty of Science Buliding #4 Room 501

Speaker/Organizer
 Tristan Roy (Nagoya University)

 In this talk we are interested in the radial solutions of semilinear wave equations with a supercritical nonlinearity, in dimension 3, and with initial data lying in the critical Sobolev space. It is wellknown that one can construct solutions on a short time interval. Then next question is: what is the asymptotic behavior of these solutions? In other words do the solutions behave like free solutions or is there blowup? In the latter case, the standard blowup criterion says that a Strichartztype norm must explode. In this talk we upgrade the standard blowup criterion. We prove that if there is blowup, then the critical Sobolev norm must also explode. (in collaboration with Thomas Duyckerts)