Fall 2026: Elliptic PDE

Reference books:

• Evans, PDE
• Gilbarg-Trudinger, Elliptic PDE of Second Order (focus on Part I)
• Han-Lin, Elliptic PDE

Email: albertai, domain bicmr.pku.edu.cn

Grading: 50% homework, 50% final exam

Homework: Due approximately every 2 weeks at Thursday morning lecture, or by email to our TA

• Homework 1 (due 9/24). Evans 2nd edition, Section 5.10 Problems: 1 (Holder Banach space), 4 (1-D example), 6 (partition of unity), 7 (a Green's Theorem), 8 (insufficient trace regularity), 10 (interpolation), 14 (BMO example), 15 (Poincare estimate)