Elementary proofs of some basic subtemperature theorems
Volume 94 / 2002
Colloquium Mathematicum 94 (2002), 111-140
MSC: 35K05, 31B05.
DOI: 10.4064/cm94-1-9
Abstract
We present simple elementary proofs of several theorems about temperatures and subtemperatures. Most of these are concerned with mean values over heat spheres, heat balls, and modified heat balls, with applications to proving Harnack theorems and the monotone approximation of subtemperatures by smooth subtemperatures.
