MAT 546 

Partial Differential Equations
Spring 2012

Instructor. Michael Anderson, Math 4-110.
E-mail: anderson@math.sunysb.edu, Phone: 632-8269.
Lectures: MF: 12:50 - 2:10, in Physics P125.

Office Hours. Tu/W/Th 2-3pm, and by appointment.

Course Description. This course is an introduction to PDE. The field of PDE is huge, and the course will only cover a selection of this vast area. We will first focus on proving the basic existence and uniqueness theorems for linear PDE of the three basic types: elliptic, parabolic and hyperbolic. Then we will turn to non-linear PDE; topics here are still to be determined, possibly according to students' interests.

Text. No fixed text will be used, but the primary source will probably be:

Other standard and important texts include:

  • M. Taylor, Partial Differential Equations, Vol I-III, Springer Verlag, 1996
  • L. Hormander, The Analysis of Linear Partial Differential Operators, Vol 1-4, Springer Verlag, 1983-85.
  • D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order, (Second Edition), Springer Verlag, 1983.
  • F. Treves, Basic Linear Partial Differential Equations, Academic Press, 1975

  • Assignments and Grading. No formal HW assignments will be given. Grades will be based on interest and class discussions.

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