MATH 619: Partial Differential Equations (Fall 2007)

Instructor: Alex Vladimirsky

Meeting Time & Room

We will mostly follow Partial Differential Equations by L.C. Evans. I intend to cover in detail representation formulas for linear PDEs [Chapter 2] and the basic theory for first-order non-linear equations (starting with the method of characteristics and concentrating on Hamilton-Jacobi PDEs and conservation laws) [Chapter 3]. Time permitting, we will also discuss assorted topics from Chapter 4 (similarity solutions, transform methods, asymptotics, power series), Chapter 8 (calculus of variations), and/or Chapter 10 (control theoretic interpretation of Hamilton-Jacobi PDEs).

Last modified:April 2, 2007