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学术报告[2026]037号
(高水平大学建设系列报告1296号)
报告题目:BSDEs driven by G-Brownian motion under degenerate case and its application to the regularity of fully nonlinear PDEs
报告人:胡明尚 教授 (山东大学)
报告时间:2026年5月15日9:00-10:00
报告地点:腾讯会议:940628745
报告内容:We obtain the existence and uniqueness theorem for backward stochastic differential equation driven by G-Brownian motion (G-BSDE) under degenerate case. Moreover, we propose a new probabilistic method based on the representation theorem of G-expectation and weak convergence to obtain the regularity of fully nonlinear PDE associated to G-BSDE. This is a joint work with Shaolin Ji and Xiaojuan Li.
报告人简历: 胡明尚,山东大学中泰证券金融研究院教授,博士生导师,山东省泰山学者青年专家。主要研究方向为非线性期望、倒向随机微分方程、随机控制、金融数学等。在Transactions of the American Mathematical Society, SIAM Journal on Control and Optimization, Stochastic Processes and their Applications, Journal of Differential Equations 等杂志发表论文40余篇。近年来,主持国家自然科学基金数学天元基金重点专项1项,主持完成国家自然科学基金面上项目1项。
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