MATH5022 - Theory of Partial Differential Equations II - 2023/24

General Information

Lecturer

• YU, Yong
  • Office: LSB214
  • Tel: 39438900
  • Email:
  • Office Hours: By appointment

Time and Venue

• Lecture: Tu 9:30-11:00, LSB 222; Fri 9:30-11:00, LSB 222

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

• Han Qing and Lin Fanghua: Elliptic Partial Differential Equations
• Gilbarg and Trudinger: Elliptic Partial Differential Equations of Second Order

References

• Leon Simon: Theorems on Regularity and Singularity of Energy Minimizing Maps
• Luigi Ambrosio: Lectures on Elliptic Partial Differential Equations

Assessment Scheme

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