確率論セミナー


2022/10/11(Tue)

16:30--18:00 ハイブリッドセミナー

星野 壮登

大阪大学

Regularity structures for the quasilinear generalized KPZ equation

We consider the renormalization of quasilinear stochastic PDEs. Our approach is an extension of the theory of regularity structures based on the paracontrolled approach by Bailleul, Debussche, and Hofmanov\'a. If the noise is a space-time white noise and we consider the approximation of the noise by even functions, then we obtain the renormalization terms as a local function of the solution. This talk is based on a joint work with Isma\"el Bailleul (Universit\'e Rennes 1) and Seiichiro Kusuoka (Kyoto University).*本セミナーは Zoom を用いたハイブリッドセミナーです。参加を希望される方は塩沢(shiozawa "at" math.sci.osaka-u.ac.jp)までお問い合わせ下さい。