Math 43500: Partial Differential Equations, Integral Equations, Boundary Value Problems

First order equations, shock waves; classification and canonical forms of higher order equations, characteristics, the Cauchy problem for the wave equation: Huygens' principle; the heat equation; Laplace's equation; the Dirichlet and Neuman problems; harmonic functions; eigenvalue expansions; Green's functions. Prereq.: Math 32500 and 39100 or permission of the instructor. 4 HR./WK.; 4 CR.

Sections

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