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Iterative methods for solving a nonlinear boundary inverse problem in glaciology
University of Alaska at Fairbanks.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
University of Alaska at Fairbanks.
University of Alaska at Fairbanks.
2009 (English)In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, ISSN 0928-0219 , Vol. 17, no 3, 239-258 p.Article in journal (Refereed) Published
Abstract [en]

We address a Cauchy problem for a nonlinear elliptic PDE arising in glaciology. After recasting the Cauchy problem as an ill-posed operator equation, we prove (for values of a certain parameter allowing Hilbert space techniques) differentiability properties of the associated operator. We also suggest iterative methods which can be applied to solve the operator problem.

Place, publisher, year, edition, pages
2009. Vol. 17, no 3, 239-258 p.
Keyword [en]
Inverse boundary problems, nonlinear elliptic equations, iterative methods
National Category
URN: urn:nbn:se:liu:diva-18279DOI: 10.1515/JIIP.2009.018OAI: diva2:217856
Available from: 2009-05-17 Created: 2009-05-15 Last updated: 2009-05-17

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Kozlov, Vladimir
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Applied MathematicsThe Institute of Technology

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ReferencesLink to record
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