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On Current Developments in Partial Differential Equations
作者姓名:Fanghua  Lin
作者单位:Courant Institute
基金项目:This article is initiated during a round table discussion at International Center for Mathematics in Southern University of Science and Technology(SUSTech)held in the January 2020.I am grateful to the wonderful organization and hospitality provided by Professors Tao Tang,Xiaoming Wang and Linlin Su.In the course of the preparation of this work,several colleagues have contributed to the scientific part of this review article.Here I would like to thank particularly:Chenjie Fan from University of Chicago,Jun Geng from Lanzhou University,Yanlin Liu from The Chinese Academy of Sciences,Xinan Ma from University of Sciences and Technology of China,Shuang Miao and Kelei Wang from Wuhan University;Ping Zhang from The Chinese Academy of Sciences and Zhifei Zhang from Beijing University.Their enthusiasm and passion have greatly improved the presentation and the quality of this work.
摘    要:The first part of this article is an overview on some recent major developments in the field of analysis and partial different equations.It is a brief presentation given by the author at a round table discussion.The second part is a supplement of various details provided by several outstanding researchers on subjects.

关 键 词:PARTIAL  differential  equations  HARMONIC  analysis  GEOMETRIC  MEASURE  theory

On Current Developments in Partial Differential Equations
Fanghua Lin.On Current Developments in Partial Differential Equations[J].Communications in Mathematical Research,2020,36(1):1-30.
Authors:Fanghua Lin
Abstract:The first part of this article is an overview on some recent major developments in the field of analysis and partial different equations. It is a brief presentation given by the author at a round table discussion. The second part is a supplement of various details provided by several outstanding researchers on subjects.
Keywords:Partial differential equations  harmonic analysis  geometric measure theory  
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