偏微分方程式セミナー: A semilinear hyperbolic system violating the null condition

開催日時
2012年   12月 3日 16時 30分 ~ 2012年   12月 3日 17時 30分
場所
北海道大学理学部3号館309室
講演者
片山 聡一郎氏 (和歌山大学教育学部 数学教室)
 
We consider the Cauchy problem for a two-component
system of semilinear wave equations in three
space dimensions. We treat a certain system which
does not satisfy the null condition of Klainerman, but
whose solution is expected to have bounded energy.
We show the global existence of classical solutions for
small initial data. We also show that one component
will lose its energy, while the other behaves like a
non-trivial free solution in the large time. This talk is
base on a joint work with H. Sunagawa and T. Matoba.

関連項目

研究集会・セミナー・集中講義の一覧へ