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Iterative methods for solving a nonlinear boundary inverse problem in glaciology
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S. Avdonin
Veröffentlicht/Copyright:
16. April 2009
Abstract
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.
Received: 2008-02-02
Published Online: 2009-04-16
Published in Print: 2009-April
© de Gruyter 2009
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Artikel in diesem Heft
- Some approaches to a numerical solution for the multidimensional inverse kinematic problem of seismics with inner sources
- Iterative methods for solving a nonlinear boundary inverse problem in glaciology
- Global in time results for a class of inverse problems
- On stability of an inverse spectral problem for a nonsymmetric differential operator
Schlagwörter für diesen Artikel
Inverse boundary problems;
nonlinear elliptic equations;
iterative methods
Artikel in diesem Heft
- Some approaches to a numerical solution for the multidimensional inverse kinematic problem of seismics with inner sources
- Iterative methods for solving a nonlinear boundary inverse problem in glaciology
- Global in time results for a class of inverse problems
- On stability of an inverse spectral problem for a nonsymmetric differential operator
