PDE seminar: Blowup of solutions to semilinear wave equations with nonzero initial data
 Date

2013527 16:30 
2013527 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Kyouhei Wakasa (Hokkaido University)

 In this talk, we consider the initial value problem for semilinear
wave equations with noncompactly supported data.
With the initial data of zero initial position, the solution
blows up for any power nonlinearity. This was first shown
by Asakura (1986) under the assumption that the spatial
decay is weak at infinity. On the other hand, Takamura &
Uesaka & Wakasa (2010) have obtained the blow up result
for nonzero initial position by making use of "timederivative
reduction".Our aim in this talk is to show the
blow up result when both the initial position and the initial
velocity do not identically vanish.This is a joint work with
Prof. M.A. Rammaha (Univ. of NebraskaLincoln),Prof. H.
Takamura (Future Univ. Hakodate) and Prof. H. Uesaka
(Nihon Univ.).