A continuous dependence result in the analytic continuation problem

Authors
Vessella, S
Citation
S. Vessella, A continuous dependence result in the analytic continuation problem, FORUM MATH, 11(6), 1999, pp. 695-703
Citations number
13
Categorie Soggetti
Mathematics
Journal title
FORUM MATHEMATICUM
ISSN journal
09337741 → ACNP
Volume
11
Issue
6
Year of publication
1999
Pages
695 - 703
Database
ISI
SICI code
0933-7741(1999)11:6<695:ACDRIT>2.0.ZU;2-Z
Abstract
We study the following problem. Consider an open, bounded and connected set Ohm in R-n and an open subset E in Ohm. Knowing the values of an analytic function f on E we want to find its value on Ohm. The problem is not well p osed in the sense of Hadamard. We find a stability estimate for f depending on the measure of E.