@Article{JCM-11-142, author = {Yu , Wen-Hua}, title = {Solving Inverse Problems for Hyperbolic Equations via the Regularization Method}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {2}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9312.html} }