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MATH 580. Advanced Partial Differential Equations 1 .

Credits: 4
Offered by: Mathematics and Statistics (Faculty of Science)
Terms offered: Fall 2026
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Description

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

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