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Iterative method for recovery a nonlinear source in a hyperbolic equation with final overdetermination
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A.Yu. Shcheglov
Veröffentlicht/Copyright:
7. September 2013
Abstract
- We consider here the inverse problem, which consists in recovery of a nonlinear source in the equation of hyperbolic type with constant coefficients in main part of differential operator. The additional information for solution of the inverse problem is given in the form of final overdetermination. The iterative algorithm for recovery of the source is based on the theorem of existence and uniqueness of solution for the inverse problem that is proved in small. The convergence of the iterative method for solving the inverse problem is established.
Published Online: 2013-09-07
Published in Print: 2002-12
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- CONTENTS
- Determination of a right-hand side term in an operator-differential equation of mixed type
- Regularization of parameter estimation by adaptive discretization using refinement and coarsening indicators
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Stability estimates for an inverse elliptic problem
- On solvability of an inverse problem with an unknown coefficient and right-hand side for a parabolic equation
- Iterative method for recovery a nonlinear source in a hyperbolic equation with final overdetermination
- Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
Artikel in diesem Heft
- CONTENTS
- Determination of a right-hand side term in an operator-differential equation of mixed type
- Regularization of parameter estimation by adaptive discretization using refinement and coarsening indicators
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Stability estimates for an inverse elliptic problem
- On solvability of an inverse problem with an unknown coefficient and right-hand side for a parabolic equation
- Iterative method for recovery a nonlinear source in a hyperbolic equation with final overdetermination
- Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
