主讲人简介：张希承，武汉大学数学与统计学院教授，博士生导师。2010年入选教育部“新世纪优秀人才支持计划”，先后主持国家自然科学基金项目4项，2013年获国家自然科学基金杰出青年项目。迄今，他已在概率和方程方向的顶级刊物发表论文100余篇，研究深度和广度获得国内外专家认可。
内容摘要：In this talk I will report a joint work with Rongchan Zhu and Xiangchan Zhu about singular HJB equations. In this work we study 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 by Gubinelli-Imkeller-Perkowskii.By a new characterization of weighted H\older 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 H\older spaces is obtained without using Cole-Hopf's transformation.
主持人：张振中
