Geodesic
On the use of a~priori information in coefficient inverse problems for hyperbolic equations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 147-164

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Numerical algorithms for solving inverse coefficient problems for hyperbolic equations based on the use of a priori information on the solution are considered. Optimization algorithms and a dynamic version of the Gelfand–Levitan–Krein method are investigated. The boundedness of the solution and of its first derivative are used as a priori information. Convergence rate estimates are derived. The results of numerical simulations are presented.
Keywords: coefficient inverse problems for hyperbolic equations, Gelfand–Levitan equation, optimization methods, regularization
Mots-clés : a priori information. 
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     title = {On the use of a~priori information in coefficient inverse problems for hyperbolic equations},
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S. I. Kabanikhin; M. A. Shishlenin. On the use of a~priori information in coefficient inverse problems for hyperbolic equations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 147-164. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a11/