MATH5022  Theory of Partial Differential Equations  2018/19
General Information
Lecturer

YU, Yong
 Office: LSB 214
 Tel: 39438900
 Email:
 Office Hours: Any time/ by appointment
Time and Venue
 Lecture: Tu 9:30AM  11:00AM, LSB G36 (Jan 8, 2019 Apr 23, 2019); Fr 9:30AM  11:00AM, LSK201 (Jan 11  Mar 29, Apr 12, Apr 26)
Course Description
This course covers the basic theory of partial differential equations equations with emphasis on elliptic equations of second order. Both the classical and modern approaches to these equations are discussed. The main concern is various a prior estimates which are useful in solving linear and nonlinear equations. Some geometric applications are included. It is suited for those who are interested in analysis or geometry.
Textbooks
 Elliptic Partial Differential Equations (Second Edition): by Qing Han and Fanghua LIN
 Elliptic Partial Differential Equations of Second Order: by David Gilbarg and Neil S. Trudinger
References
 Theorems on regularity and singularity of energy minimizing maps, Lecture in mathematics ETH Zurich, by Leon Simon
 Lectures on Elliptic Differential Equations, by L. Ambrosio, http://cvgmt.sns.it/media/doc/paper/1280/PDEAAA.pdf
Assessment Scheme
Presentation  30%  
Essay test  70% 
Honesty in Academic Work
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Assessment Policy Last updated: January 05, 2019 11:28:33