报告人：杜恺 研究员
报告题目：Schauder estimates and classical solutions of the Dirichlet problem for stochastic parabolic equations
报告时间：2026年6月7日（周日）上午9：00
报告地点：云龙校区6号楼304报告厅
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
杜恺，复旦大学上海数学中心研究员、博士生导师，曾任职于苏黎世联邦理工学院、澳大利亚Wollongong大学，主要研究方向包括随机分析、偏微分方程、最优控制、强化学习等，入选国家级青年人才项目、上海市“东方学者”，曾获上海市自然科学奖二等奖（独立完成人）。
报告摘要：
We study second-order stochastic parabolic equations in a cylindrical domain with homogeneous Dirichlet boundary conditions. Under a natural compatibility condition on the gradient-type noise, we establish global Schauder estimates in stochastic Holder spaces for the Dirichlet problem. The coefficients and free terms are assumed to be Holder continuous in the spatial variables, while only their boundary traces are required to be Holder in time. As a consequence, we obtain existence and uniqueness of quasi-classical solutions in stochastic Holder spaces, and further derive pathwise classical solvability in Holder classes.
