Math 581BA and 582BA
Linear and Nonlinear Second Order Elliptic Equations
Yu Yuan
Autumn 2003 and Winter 2004, Monday-Wednesday-Friday 9:30-10:20
581BA: Linear Theory.
Solvability and a priori estimates, Schauder and Calderon-Zygmund
estimates.
Prerequisites: Advanced Calculus, Real Analysis.
582BA: Nonlinear Theory.
De Giorgi-Nash-Moser theory for divergence equations (e.g. the minimal
surface equation), Krylov-Safonov theory for nondivergence equations
(e.g. the Monge-Ampère equation).
Prerequisites: 581BA.