偏微分方程式セミナー(2016/6/24): The Cauchy problem for the nonlinear damped wave equation with slowly decaying data, 若杉 勇太 氏(名古屋大学)

開催日時
2016年   6月 24日 16時 30分 ~ 2016年   6月 24日 18時 00分
場所
北海道大学理学部3号館3-309室
講演者
若杉 勇太 氏(名古屋大学)
 
In this talk, we consider the Cauchy problem for the nonlinear damped wave equation with slowly decaying initial data. We show the global existence of solutions with small initial data for the supercritical nonlinearity. Moreover, we prove that the asymptotic profile of the global solution is given by that of the corresponding parabolic problem. Also, we will mention about the blow-up and estimates of the lifespan of solutions for the subcritical nonlinearity. This talk is based on a joint work with Masahiro Ikeda and Takahisa Inui (Kyoto University).

関連項目

研究集会・セミナー・集中講義の一覧へ