Math 6190, Partial Differential Equations,
Fall 2009
Syllabus:
-
We will mostly follow the 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,
homogenization), Chapter 8 (calculus of variations), and/or
Chapter 10 (control theoretic interpretation of Hamilton-Jacobi PDEs).
Times and Location:
- Lectures (Vladimirsky): Tue 11:40 - 12:55, Location:
Malott Hall (MT), Room 230
- Lectures (Vladimirsky): Thu 11:40 - 12:55, Location:
Malott Hall (MT), Room 230
Staff:
-
Alex Vladimirsky,
Instructor
- Contact Info: 430 Malott Hall, 255-9871, vlad@math.cornell.edu
- Office Hours:
Wednesday 11:00-11:55am, Thursday 3:00-3:55pm, (or by appointment).
-
Remus Radu,
Teaching Assistant
- Contact Info: 120 Malott Hall,
remusradu@math.cornell.edu
- Office Hours:
218 Malott Hall, Monday 4:00-4:55pm, (or by appointment).
Text:
- Evans, L.C.,
Partial Differential Equations,
American Mathematical Society, 1998 (additional printings: 1999, 2002, 2008).
Note: errata for all 4 printings can be found on the author's
webpage.
You might also find useful these
detailed
lecture notes based on Evans' book
by Prof. M.Pugh of U. Toronto
.
Grade decomposition: