Date: Oct, 19th, Thursday
Time: 3:00 pm
Place: Little 339 (the Atrium)
Speaker: J. Christopher Tweddle
Title:
Partial Regularity for Evolution Problems with Discontinuity
Abstract:
I will present a result of R. Hardt and Y. Tonegawa from their 1996 paper
"Partial Regularity for Evolution Problems with Discontinuity." In this paper,
the authors are concerned with the partial regularity of weak solutions to the
problem $$\frac{\partial u}{\partial t} = div_x \phi_p(\nabla u)$$, where
$\phi$ is a $C^1$ convex, linear growth function.