MATH 6150

Partial Differential Equations

Course Description

Course information provided by the Courses of Study 2021-2022.

This course emphasizes the "classical" aspects of partial differential equations (PDEs).  The usual topics include fundamental solutions for the Laplace/Poisson, heat and and wave equations in Rn, mean-value properties, maximum principles, energy methods, Duhamel's principle, and an introduction to nonlinear first-order equations, including shocks and weak solutions. Additional topics may include Hamilton-Jacobi equations, distribution theory, and the Fourier transform.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: MATH 4130, MATH 4140, or the equivalent, or permission of instructor.

Comments Offered alternate years.

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