## 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.