Smooth potentials with prescribed boundary behaviour.

Gardiner, Stephen J., and Gustafsson, Anders. "Smooth potentials with prescribed boundary behaviour.." Publicacions Matemàtiques 48.1 (2004): 241-249. <http://eudml.org/doc/41499>.

@article{Gardiner2004,
abstract = {This paper examines when it is possible to find a smooth potential on a C1 domain D with prescribed normal derivatives at the boundary. It is shown that this is always possible when D is a Liapunov-Dini domain, and this restriction on D is essential. An application concerning C1 superharmonic extension is given.},
author = {Gardiner, Stephen J., Gustafsson, Anders},
journal = {Publicacions Matemàtiques},
keywords = {Teoría del potencial; Condiciones de contorno; Desigualdad de Harnack; Funciones superarmónicas; superharmonic function; Lyapunov-Dini domain},
language = {eng},
number = {1},
pages = {241-249},
title = {Smooth potentials with prescribed boundary behaviour.},
url = {http://eudml.org/doc/41499},
volume = {48},
year = {2004},
}

TY - JOUR
AU - Gardiner, Stephen J.
AU - Gustafsson, Anders
TI - Smooth potentials with prescribed boundary behaviour.
JO - Publicacions Matemàtiques
PY - 2004
VL - 48
IS - 1
SP - 241
EP - 249
AB - This paper examines when it is possible to find a smooth potential on a C1 domain D with prescribed normal derivatives at the boundary. It is shown that this is always possible when D is a Liapunov-Dini domain, and this restriction on D is essential. An application concerning C1 superharmonic extension is given.
LA - eng
KW - Teoría del potencial; Condiciones de contorno; Desigualdad de Harnack; Funciones superarmónicas; superharmonic function; Lyapunov-Dini domain
UR - http://eudml.org/doc/41499
ER -