Abstract

The idea of Lusin approximation is applied to the case of functions in the Sobolev spaces, which are shown to be H\"older continuous except over small sets. The result matches in a natural way with the Sobolev imbedding theorem and is well suited to getextensions of some classical interior regularity results for Poisson's equation.

TUESDAY, November 13, 2001
Time: 1:30 P.M.
Location: Physical Plant Building 300