Graduate Partial Differential Equations I --Fall 2005
M393C (59120), CAM393C (65205)

Professor: Irene M. Gamba

Classes: T-TH 12:30-1:45   Room RLM 10.176

Website: http://www.ma.utexas.edu/users/gamba

Office: RLM 10.166

Office Hours: Tuesdays 10:30-11:30am and by appointment

Phone: 471-7150

Email: gamba@math.utexas.edu

Recommended Text:    Partial Differential Equations by L.C. Evans, Graduate Studies in Mathematics 19, AMS
For a review:    Elementary Applied Partial Differential Equations, by Richard Haberman. 

Syllabus: Brief description: This is the first semester of a year long course which serves as an Introduction to the theory of linear and nonlinear partial differential equations. Part of the class will be devoted to the issues of the existence and other properties (regularity, stability, etc.) for linear equations (elliptic, parabolic, hyperbolic). A part of the first semester class may include introductory issues to the theory of the solutions some important nonlinear equations like entropy solutions for hyperbolic conservation laws and and viscosity solutions for Hamilton-Jacobi equations and fully nonlinear second order PDEs. The second semester will consist on this issues more substantially.

Class requisites: There will be assigned suggested problems and an end of semester home-take test.

Prerequisite: Some basic knowledge of analysis is necessary.