偏微分方程式セミナー: Existence and asypmtotic stability of periodically growing solutions of nonlinear parabolic equations

開催日時
2012年   11月 12日 16時 30分 ~ 2012年   11月 12日 17時 30分
場所
北海道大学理学部3号館309室
講演者
中村健一氏 (金沢大学理工研究域数物科学系)
 
We study the behavior of unbounded global orbits in
a class of strongly monotone semiflows and give a
criterion for the existence of an orbit with periodic
growth. We also prove the uniqueness and asymptotic
stability of the orbit. We apply our results to a
certain class of nonlinear parabolic equations and
show the convergence of solutions to an entire solution
which grows up in infinte time with time-periodic
profile. This talk is based on a joint work with Toshiko
Ogiwara (Josai University).

関連項目

研究集会・セミナー・集中講義の一覧へ