Week 1. April 17 (Mon), April 18 (Tues), April 22 (Sat): 9:00am-12:00pm
Week 2. April 25 (Tues), April 29 (Sat): 9:00am-12:00pm
April 29 (Sat): 2:00pm-5:00pm
Location: April 17 in Room 303 of Teaching Building 3 (第三教学楼 303); the rest lectures in M1001 (理学院)
This short course is suitable for students who have some basic knowledge on undergraduate PDEs and Sobolev Spaces.
Main topics:
1. Maximum principle for elliptic and parabolic equations and comparison principle.
2. L p and Schauder theories for elliptic and parabolic equations.
3. Eigenvalue problems, principle eigenvalues, and spectral radius.
4. The eigenvalue problem of non-complete coupled systems.
5. The upper and lower solutions method for elliptic equations.
6. The upper and lower solutions method for parabolic equations.
