|Introduction to Second Order Elliptic Partial Differential Equations|
|Time：||Tue. 15:20-16:50/Fri. 08:00-09:30, 2014-10-10~2014-12-5|
|Instructor：||Shiu-Yuen Cheng [Tsinghua University]|
|Place：||Conference Room 3, Floor 2, Jin Chun Yuan West Building|
This course intends to introduce the basic techniques of second order elliptic partial differential equations. Topics include harmonic functions, maximum principles, potential theory, Schauder estimates, Wm,p spaces, quasi-linear elliptic equations of variational type, De Georgi-Nash-Moser estimates and Harnack inequality. If time permits we will solve some model equations in Geometric Analysis as applications of our techniques.
Linear Algebra, Multivariable Calculus, Real Analysis
Students will be asked to read and make presentation on papers related to topics covered in lectures.