Math 557A/558A: Introduction to Partial Differential Equations
Robin Graham
Autumn/Winter 2000-2001, Monday/Wednesday/Friday 11:30-12:20
This course will provide an introduction to basic problems and theory
of partial differential equations. The textbook for the course will
be Introduction to Partial Differential Equations, 2nd edition,
by Gerald B. Folland, and will be supplemented to some degree by material
taken from other sources. The prerequisite is Math 554,5,6--Linear
Analysis. (In particular, familiarity with the basics of distribution
theory and with the theory of ordinary differential equations will be assumed.)
Math 557 (Autumn quarter) is a prerequisite for Math 558 (Winter quarter).
Topics to be covered include: First order equations, Cauchy-Kowalevski
Theorem, constant coeffieient equations, fundamental solutions and properties
of solutions of the Laplace, heat, and wave equations, solution of the
Dirichlet and Neumann problems via layer potentials, and selected topics
for nonlinear equations.
Regular homework assignments will be assigned and graded.
The third quarter of this sequence, Math 559, will be taught by Hart
Smith during Spring 2001.