Parabolic p-Laplace equation and logarithmic Sobolev inequality
関数方程式セミナー
開催期間
2012.7.13(金)
15:30 ~ 17:00
15:30 ~ 17:00
場所
福岡大学・セミナーハウス・2階セミナー室D
講演者
藤田 安啓 (富山大学・理工)
概要
It is known that a hypercontractivity of a solution to a
Hamilton-Jacobi equation with a parameter $p$ is equivalent
to a logarithmic Sobolev inequality with this parameter
$p$. In this talk, I will show that a hypercontractivity of
a solution to the parabolic p-Laplace equation is equivalent
to this logarithmic Sobolev inequality.
*通常と開始時間が異なります