题目：Singular HJB equations with applications to KPZ on the real line
报告人：朱蓉禅（北京理工大学）
时间地点：2021年11月24日 晚上 20:00-21:00，腾讯会议ID：287 721 699 CODE：7315
报告摘要：In this talk I will talk about the Hamilton-Jacobi-Bellman equations with distribution-valued coefficients, which is not well-defined in the classical sense and shall be understood by using paracontrolled distribution method introduced in \cite{GIP15}. By a new characterization of weighted Hölder space and Zvonkin’s transformation we prove some new a priori estimates, and therefore, establish the global well-posedness for singular HJB equations. As an application, the global well-posedness for KPZ equations on the real line in polynomial weighted Hölder spaces is obtained without using Cole-Hopf’ s transformation. This is based on the joint work with Xicheng Zhang and Xiangchan Zhu.
报告人简介：
朱蓉禅，博士毕业于中科院数学与系统科学研究院和德国比勒菲尔德大学，现任北京理工大学教授。2019年获批国家自然科学基金优青项目。
![[minicourse]朱蓉禅-01.png](http://tianyuan.scu.edu.cn/upload/default/20211119/%5Bminicourse%5D%E6%9C%B1%E8%93%89%E7%A6%85-01.png "[minicourse]朱蓉禅-01.png")