Smooth potentials with prescribed boundary behaviour.
Gardiner, Stephen J. ; Gustafsson, Anders
Publicacions Matemàtiques, Tome 48 (2004), p. 241-249 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2004-01-01
DMLE-ID : 4012 
@article{urn:eudml:doc:41499,
     title = {Smooth potentials with prescribed boundary behaviour.},
     journal = {Publicacions Matem\`atiques},
     volume = {48},
     year = {2004},
     pages = {241-249},
     zbl = {1047.31005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41499}
}

Gardiner, Stephen J.; Gustafsson, Anders. Smooth potentials with prescribed boundary behaviour.. Publicacions Matemàtiques, Tome 48 (2004) pp. 241-249. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41499/