MATH 446

Advanced Partial Differential Equations

Units: 1.5

Hours: 3-0

Formerly: 445B

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.

Note:

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

Prerequisites:

  • One of MATH 335, MATH 336, MATH 434; and
  • MATH 342; or
  • permission of the department

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

Schedules:
Summer Fall Spring

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