报告题目：Global well-posedness for a class of rough PDEs of level 3
报告人： 曾才斌教授
报告时间：2025年7月22日（星期二）上午15:00-16:00
报告地点：藕舫楼725
主持人： 吕广迎教授
报告摘要：Semilinear rough PDEs driven by a rough path of level 3 pose two principal difficulties: the second Gubinelli derivative alone fails to guarantee the necessary space-time regularity of solutions, and the usual first Gubinelli derivative provides no spatial smoothing for the rough convolution. To address these challenges, a specialized controlled rough path framework has been developed, whereby Gubinelli derivatives adhere to augmented spatial regularity conditions. In this setting, solutions are constructed as controlled triples whose algebraic structure cancels the problematic higher-order contributions. Furthermore, by replacing the raw H\older norm of the driving signal with a refined control function and employing a sequence of greedy time partitions with Gaussian-tailed cardinality, we derive sharp integrable bounds on the solution. We illustrate the findings with two examples.
报告人简介：曾才斌，华南理工大学教授、博士生导师、统计与金融数学系副主任，研究方向为随机动力系统，在JFA、JDE等学术期刊发表论文多篇，主持承担了2项国家自然科学基金面上项目、1项国家自然科学基金天元讲习班项目、国家自然科学基金青年项目、5项省部级项目，先后学术访问犹他州立大学、赫尔辛基大学、杨百翰大学，曾获广东省优秀博士学位论文称号。
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数学与统计学院
江苏省应用数学（南京信息工程大学）中心
江苏省系统建模与数据分析国际合作联合实验室
2025年7月21日
