报告人：张让让 副教授
报告题目：Wong-Zakai approximation and support theorem for quasilinear parabolic stochastic partial differential equations
报告时间：2025年11月23日（周日）上午9：00
报告地点：云龙校区6号楼304会议室
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：
张让让，北京理工大学数学与统计学院副教授。博士毕业于中国科学院数学与系统科学研究院，研究领域为随机偏微分方程。在《Communications in Mathematical Physics》、《The Annals of Applied Probability》、《Journal of Differential Equations》、《Electronic Journal of Probability》等期刊发表论文二十余篇，主持国家自然科学基金面上项目、青年基金项目和北京市自然科学基金面上项目等。
报告摘要：
In this talk, we are concerned with Wong-Zakai approximation and support theorem for quasilinear parabolic stochastic partial differential equations. Since this class of equations is not locally monotone, we implement a regularization strategy using a sequence of heat kernel to modify the matrix-valued diffusion term, thereby recovering the monotonicity. As a result, the problem is reduced to prove two results of further layer approximations. To this end, we further employ a kinetic formulation of the approximating solutions in the L^1 setting and fully use the doubling variables techniques. This is based on a joint work with Tusheng Zhang.