Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 819: Partial Differential Equations (Fall)

 Mikhail Feldman: Fall 2017:

 

Instructor : Mikhail Feldman, Fall 2017:

Textbook:  L. C. Evans. Partial differential equations. 2nd edition. Graduate Studies in Mathematics, 19.
American Mathematical Society, Providence, RI

Content : This is the first of two courses (math 820 being the second) on PDE. We will follow the textbook by L. C. Evans, Chapters 2,3,5,6.

The course will consist of the following parts:
1. Basic properties of solutions of Laplace's equation and the heat and wave equations.  
2. Sobolev spaces.
3. Second order linear elliptic equations: existence, regularity, maximum principles.
4. First order nonlinear PDE: introduction to Hamilton-Jacobi equations and conservation laws.

semester: 
Fall
prereqs: 
Real Analysis (Math 721) or consent of instructor.

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, Wi  53706

(608) 263-3054

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