Partial Differential Equations III

4 credits

Third course in graduate partial differential equations. Laplace, heat, and wave equations. Non-linear first order equations, including Hamilton-Jacobi theory. Sobolev spaces and initial/boundary value problems for linear elliptic, parabolic, and hyperbolic equations. Non-linear second order equations, including calculus of variations. Prerequisites: MATH 231B. Students who have not completed MATH 231B may enroll with consent of instructor.