Partial Differential Equations 1. - 4211 - MATH 580 - 001 | ||||||||||||||||||||||||
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Classification and wellposedness of linear and nonlinear partial differential equations; energy methods; Dirichlet principle. Brief introduction to distributions; weak derivatives. Fundamental solutions and Green's functions for Poisson equation, regularity, harmonic functions, maximum principle. Representation formulae for solutions of heat and wave equations, Duhamel's principle. Method of Characteristics, scalar conservation laws, shocks.
Fall Prerequisites: MATH 475 or equivalent Associated Term: Fall 2021 Registration Dates: Jun 01, 2021 to Sep 14, 2021 Lecture Schedule Type Lecture Instructional Method 4.000 Credits View Catalog Entry
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