- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:42
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
11
1995
3
Convex domains and unique continuation at the boundary
Vilhelm
Adolfsson
Chalmers University of Technology, GOTHENBURG, SWEDEN
Luis
Escauriaza
Universidad del Pais Vasco, BILBAO, SPAIN
Carlos
Kenig
University of Chicago, CHICAGO, UNITED STATES
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.
General
513
525
10.4171/RMI/182
http://www.ems-ph.org/doi/10.4171/RMI/182