We study the following problem. Consider an open, bounded and connected set Omega 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 Omega. The problem is not well posed in the sense of Hadamard. We find a stability estimate for f depending on the measure of E.

A CONTINUOUS DEPENDENCE RESULT IN THE ANALYTIC CONTINUATION PROBLEM / S. VESSELLA. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - STAMPA. - 11:(1999), pp. 695-703. [10.1515/form.1999.020]

A CONTINUOUS DEPENDENCE RESULT IN THE ANALYTIC CONTINUATION PROBLEM

VESSELLA, SERGIO
1999

Abstract

We study the following problem. Consider an open, bounded and connected set Omega 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 Omega. The problem is not well posed in the sense of Hadamard. We find a stability estimate for f depending on the measure of E.
1999
11
695
703
S. VESSELLA
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/2426
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