Instructor: Irene M. Gamba
Class hours: T-TH 12:30-2:00 pm , Room RLM 10.176
Additional Meeting Hour when needed: TBA
Website: http://www.ma.utexas.edu/users/gamba/teaching.html
Office: RLM 10.166 -- Phone: 471-7150
Office Hours: by appointment
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 and dispersive). 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, viscosity solutions for Hamilton-Jacobi equations, and some topics on nonlinear second order PDEs. The second semester will focus on some of these issues more substantially.
Class requisites: There will be suggested problems. At end of semester, students will make 20 to 30 minutes presentation of related papers.
There will be no final exam.
Prerequisite: Some basic knowledge of real analysis and undergraduate ODEs and PDEs
may be necessary