Thomas Hillen
Professor, Faculty of Science - Mathematics & Statistical Sciences
Contact
Professor, Faculty of Science - Mathematics & Statistical Sciences
- thillen@ualberta.ca
Overview
Research
Areas
Mathematical Biology & Partial Differential Equations
Courses
MATH 539 - Applied Functional Analysis
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.