**SMS scnews item created by Daniel Daners at Thu 14 Apr 2011 1522**

Type: Seminar

Distribution: World

Expiry: 18 Apr 2011

**Calendar1: 18 Apr 2011 1400-1500**

**CalLoc1: Mills 202**

Auth: daners@bari.maths.usyd.edu.au

### PDE Seminar

# Domain perturbation for parabolic equations

### Sa Ngiamsunthorn

Parinya Sa Ngiamsunthorn

University of Sydney

18 April 2010, 2-3pm, Mills Lecture Room 202 (note the location)

## Abstract

We study the effect of domain perturbation on the behaviour of parabolic
equations. In particular, we show how solutions of parabolic equations behave
as a sequence of domains \(\Omega_n\) in \(\mathbb R^N\) converges to an open set
\(\Omega\) in a certain sense. We are interested in singular domain perturbations
so that a change of variables is not possible on these domains. In the first
part of this talk, we concentrate on initial-boundary value problems for
non-autononous parabolic equations. We prove the convergence of solutions by
variational methods using the notion of Mosco convergence. In the second part,
we look at domain perturbation for bounded solutions of parabolic equations on
the whole real line.

Check also the PDE Seminar page. Enquiries to Florica Cîrstea or Daniel Daners.