Solving Inverse Problems for Hyperbolic Equations via the Regularization Method
Year: 1993
Author: Wen-Hua Yu
Journal of Computational Mathematics, Vol. 11 (1993), Iss. 2 : pp. 142–153
Abstract
In the paper, we first deduce an optimization problem from an inverse problem for a general operator equation and prove that the optimization problem possesses a unique, stable solution that converges to the solution of the original inverse problem, if it exists, as a regularization factor goes to zero. Secondly, we apply the above results to an inverse problem determining the spatially varying coefficients of a second order hyperbolic equation and obtain a necessary condition, which can be used to get an approximate solution to the inverse problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1993-JCM-9312
Journal of Computational Mathematics, Vol. 11 (1993), Iss. 2 : pp. 142–153
Published online: 1993-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Author Details
Wen-Hua Yu Email