Math 620 — Spring 2002 Partial Differential Equations

This is the second part of the PDE course sequence 619 - 620. The aim is to provide a systematic approach to basic topics in the theory of linear and nonlinear partial differential equations. This includes: (i) existence and regularity theory for weak solutions of second order elliptic, parabolic and hyperbolic equations, as well as (ii) variational and nonvariational methods for nonlinear PDEs.

Text: L. C. Evans, Partial Differential Equations, AMS, 1998.

References:

1) D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer 2001.

2) M. E. Taylor, Partial Differential Equations - Basic Theory, Texts in Applied Mathematics, v. 23, Springer, 1996.