a1 Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA
In this paper we present a simpler proof of a result of Lewis concerning the continuity of weak solutions to the two-dimensional thermistor problem in the case where the temperature can blow up in a region with non-empty interior. Some other regularity properties are also discussed.
(Received October 08 2003)
(Accepted March 01 2004)