Rouslan Krechetnikov

Professor, Faculty of Science - Mathematics & Statistical Sciences

Winter Term 2021 (1740)

MATH 539 - Applied Functional Analysis

★ 3 (fi 6)(EITHER, 3-0-0)

Linear part:structure of function spaces, Sobolev spaces, embeddings, topologies, linear operators, adjoint and inverse operators, spectra, distributions, semigroup theory, integral equations, well-posedness and the notion of a solution. Nonlinear part: inequalities, Frechet and Gateaux derivatives, fixed point theorems. Applications from mechanics, reaction-diffusion equations, the Navier-Stokes equations, nonlinear Schrödinger equation. Prerequisite: MATH 438 or equivalent.

LECTURE Q1 (42335)
2021-01-11 - 2021-04-16
TH 11:00 - 12:20 (TBD)


MA PH 451 - Mathematical Methods of Physics I

★ 3 (fi 6)(EITHER, 3-0-0)

Application to problems in physics of method of steepest descent, Fourier and Laplace transforms; boundary-value problems, integral equations, and Green's functions. Prerequisites: MATH 311 or 411, and 337, or equivalents.

LECTURE Q1 (42202)
2021-01-11 - 2021-04-16
TH 12:30 - 13:50 (TBD)