MATH 6160 - Partial Differential Equations

Spring. 3 credits. Student option grading.

Prerequisite: MATH 6110, MATH 6210, or the equivalent. Offered alternate years.

Staff.

This course highlights applications of functional analysis to the theory of partial differential equations (PDEs). It covers parts of the basic theory of linear (elliptic and evolutionary) PDEs, including Sobolev spaces, existence and uniqueness of solutions, interior and boundary regularity, maximum principles, and eigenvalue problems. Additional topics may include: an introduction to variational problems, Hamilton-Jacobi equations, and other modern techniques for non-linear PDEs.