偏微分方程式セミナー(2016/10/28): On Hamilton-Jacobi equation with initial data of the Takagi function, 藤田 安啓 氏 (富山大学)

開催日時
2016年   10月 28日 16時 30分 ~ 2016年   10月 28日 18時 00分
場所
北海道大学理学部3号館3-309室
講演者
藤田 安啓 氏 (富山大学)
 

The Takagi function is an example of everywhere continuous and nowhere differentiable functions on the real line. The set of maximum points in the unit interval for the Takagi function is known to be a perfect but null set like the Cantor set.


In this talk, we consider the Cauchy problem of a Hamilton-Jacobi equation when the initial data is the Takagi function. Our aim is to investigate the set of maximum points in the unit interval for its unique viscosity solution.  This solution has a beautiful structure. This talk is based on a joint work with Norikazu Yamaguchi (Toyama).



関連項目

研究集会・セミナー・集中講義の一覧へ