Elementary proofs of some basic subtemperature theorems

Neil A. Watson

Colloquium Mathematicae (2002)

  • Volume: 94, Issue: 1, page 111-140
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Neil A. Watson. "Elementary proofs of some basic subtemperature theorems." Colloquium Mathematicae 94.1 (2002): 111-140. <http://eudml.org/doc/285218>.

@article{NeilA2002,
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.},
author = {Neil A. Watson},
journal = {Colloquium Mathematicae},
keywords = {subharmonic functions related to the heat equation; expository article; mean value over modified heat balls; Harnack theorems; monotone approximation},
language = {eng},
number = {1},
pages = {111-140},
title = {Elementary proofs of some basic subtemperature theorems},
url = {http://eudml.org/doc/285218},
volume = {94},
year = {2002},
}

TY - JOUR
AU - Neil A. Watson
TI - Elementary proofs of some basic subtemperature theorems
JO - Colloquium Mathematicae
PY - 2002
VL - 94
IS - 1
SP - 111
EP - 140
AB - 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.
LA - eng
KW - subharmonic functions related to the heat equation; expository article; mean value over modified heat balls; Harnack theorems; monotone approximation
UR - http://eudml.org/doc/285218
ER -

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