Flow, transport equation, BMO space and quasiconformal mapping
科研大讨论系列报告
报告题目(Title):Flow, transport equation, BMO space and quasiconformal mapping
报告人(Speaker):蒋仁进 教授 (首都师范大学)
地点(Place):后主楼1220
时间(Time):2023 年 5月 19 日(周五), 13:30-14:30
邀请人(Inviter):熊金钢
报告摘要
In this talk, I shall report some results on quasi-conforml/ quasi-symmetric flows. I will first present Reimann’s result on flows of quasi-conformal mapping on $R^n$, $n\ge 2$, and its application to transport equation in BMO. Then I will report a complete the case of the real line, where well-posedness of transport equation in BMO was obtained with quantitative estimate. We shall also present some open problems related to flow and quasiconformal mapping, and composition problem of function spaces in this direction.