Convex domains and unique continuation at the boundary.

Adolfsson, Vilhelm, Escauriaza, Luis, and Kenig, Carlos. "Convex domains and unique continuation at the boundary.." Revista Matemática Iberoamericana 11.3 (1995): 513-525. <http://eudml.org/doc/39489>.

@article{Adolfsson1995,
abstract = {We show that a harmonic function which vanishes continuously on an open set of the boundary of a convex domain cannot have a normal derivative which vanishes on a subset of positive surface measure. We also prove a similar result for caloric functions vanishing on the lateral boundary of a convex cylinder.},
author = {Adolfsson, Vilhelm, Escauriaza, Luis, Kenig, Carlos},
journal = {Revista Matemática Iberoamericana},
keywords = {Función armónica; Pérdida de calor; Problemas de valor acotado; Cilindros; Dominios convexos; Dominios de Lipschitz; convex domains; uniqueness; harmonic function; Lipschitz domain; heat equation; convex cylinders},
language = {eng},
number = {3},
pages = {513-525},
title = {Convex domains and unique continuation at the boundary.},
url = {http://eudml.org/doc/39489},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Adolfsson, Vilhelm
AU - Escauriaza, Luis
AU - Kenig, Carlos
TI - Convex domains and unique continuation at the boundary.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 3
SP - 513
EP - 525
AB - We show that a harmonic function which vanishes continuously on an open set of the boundary of a convex domain cannot have a normal derivative which vanishes on a subset of positive surface measure. We also prove a similar result for caloric functions vanishing on the lateral boundary of a convex cylinder.
LA - eng
KW - Función armónica; Pérdida de calor; Problemas de valor acotado; Cilindros; Dominios convexos; Dominios de Lipschitz; convex domains; uniqueness; harmonic function; Lipschitz domain; heat equation; convex cylinders
UR - http://eudml.org/doc/39489
ER -