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An iterative procedure for solving a Cauchy problem for second order elliptic equations

✍ Scribed by Tomas Johansson

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
149 KB
Volume
272
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

An iterative method for reconstruction of solutions to second order elliptic equations by Cauchy data given on a part of the boundary, is presented. At each iteration step, a series of mixed well‐posed boundary value problems are solved for the elliptic operator and its adjoint. The convergence proof of this method in a weighted L^2^ space is included. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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