Department of Mathematics Syllabus

This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.

MAT 218B: Partial Differential Equations
Approved: 2001-10-12, S. Shkoller

Suggested Textbook: (actual textbook varies by instructor; check your instructor)

Course Description:

  • Second Order Parabolic Boundary Value Problems.
  • Weak Solutions, Regularity, and Maximum Principles.
  • Semigroup theory.
  • Nonlinear PDEs.
  • Galerkin methods.
  • Contraction mapping principles.
  • Commutator estimates.
  • Super and Sub Solutions and viscosity solutions.
  • Applications.
  • Elasticity theory.
  • Harmonic map heat flow.
  • Motion by mean curvature.
  • Euler and Navier Stokes Equations.