MATH 446

Advanced Partial Differential Equations

Units: 1.5

Hours: 3-0-0

Classical linear PDEs : transport, Laplace, Poisson, heat, and wave equations. Scalar nonlinear first order equations, Hamilton-Jacobi, conservation laws, characteristics and notion of weak solutions. Representation of solutions, similarity solutions, Fourier transform, singular perturbation, travelling waves, power series solutions. Sobolev spaces, elliptic equations, Lax-Milgram, regularity, maximum principle. Linear evolution equations, parabolic and hyperbolic, semi-group theory. Additional topics as time permits.


  • Credit will be granted for only one of MATH 446, MATH 445B.


Undergraduate course in Mathematics offered by the Department of Mathematics and Statistics in the Faculty of Science.

Fall 2019 Spring 2020 Summer 2020

Summer timetable available: February 15. Fall and Spring timetables available: May 15.

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