分野別セミナー

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).