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学术报告九十七:Anticipated backward stochastic differential equations with quadratic growth

时间:2021-10-18 09:34

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菲律宾环球360注册账号学术报告[2021] 097

(高水平大学建设系列报告597)

报告题目: Anticipated backward stochastic differential equations with quadratic growth

报告人:温家强(南方科技大学数学系)

报告时间:20211021  下午1600-1700

报告地点: 汇星楼514                           

报告内容:In this talk, I will introduce the background of the theory of backward stochastic differential equations (BSDEs, for short) firstly. Then, the recent development and some open problems of BSDEs will be presented. Finally, concerning our latest work, I will introduce the solvability of anticipated backward stochastic differential equations with quadratic growth, which including the case of the one-dimensional situation and multi-dimensional situation. It should be pointed out that in these BSDEs, the generator f, which is of quadratic growth in Z, involves not only the present information of solution (Y, Z) but also its future one. The existence and uniqueness of such BSDEs, under different conditions, are derived for several terminal situations, including small terminal value, bounded terminal value, and unbounded terminal value.

报告人简历:温家强,南方科技大学数学系助理教授。2018年博士毕业于山东大学数学学院,博士期间曾赴美国UCF联合培养,合作导师为雍炯敏教授;20186-9月在香港理工大学数学系做研究助理;20189-20209月在南方科技大学跟随熊捷教授做博士后。获深圳市海外高层次人才“孔雀计划”C,美国数学评论特邀评论员。温家强的研究方向为倒向随机微分方程、随机最优控制理论和金融数学。目前在J. Differ. EquationsAppl. Math. Optim.Appl. Math. Comput.JMAASPL等期刊发表论文10余篇。

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