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An iterative procedure for solving a Cauchy problem for second order elliptic equations
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
2004 (English)In: Mathematische Nachrichten, ISSN 0025-584X, Vol. 272, 46-54 p.Article in journal (Refereed) Published
Abstract [en]

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 L2 space is included. © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Place, publisher, year, edition, pages
2004. Vol. 272, 46-54 p.
Keyword [en]
Cauchy problem, Ill-posed, Iterative method
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-45843DOI: 10.1002/mana.200310188OAI: diva2:266739
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-12

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Johansson, Tomas
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The Institute of TechnologyDepartment of Science and Technology
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ReferencesLink to record
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