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

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