MA 723 Advanced Partial Differential Equations

Characteristics and classification of equations; Cauchy-Kowalewski theorem; linear and quasilinear systems; elliptic equations and potential theory; Green’s function; mean value theorems; a priori estimates; functions space methods; hyperbolic equations; Riemann’s solution of the Cauchy problem; discontinuities and shocks; Huyghen’s principle; method of spherical means; parabolic equations.

Credits

3

Prerequisite

MA 650

Distribution

Pure and Applied Mathematics Program