偏微分方程式セミナー: Blow-up of solutions to semilinear wave equations with non-zero initial data

開催日時
2013年   5月 27日 16時 30分 ~ 2013年   5月 27日 17時 30分
場所
北海道大学理学部3号館309室
講演者
若狭恭平氏 (北海道大学 大学院理学院) 
 
In this talk, we consider the initial value problem for semilinear
wave equations with non-compactly 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 non-zero 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 Nebraska-Lincoln),Prof. H.
Takamura (Future Univ. Hakodate) and Prof. H. Uesaka
(Nihon Univ.).

関連項目

研究集会・セミナー・集中講義の一覧へ