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A Cauchy Problem for Elliptic Equations: Quasi-Reversibility and Error Estimates.

Authors :
Dang Dinh Ang
Dang Due Trong
Masahiro Yamamoto
Source :
Vietnam Journal of Mathematics; 2004 Special Issue, Vol. 32, p9-17, 9p
Publication Year :
2004

Abstract

In this paper, we consider a Cauchy problem for an elliptic equation in a plane domain. The problem is ill-posed. Using the method of quasi-reversibility, an approximation to the exact solution is given. Using Carleman's inequatily, we derive a sharp error estimate. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
2305221X
Volume :
32
Database :
Complementary Index
Journal :
Vietnam Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
17166843