TY - JOUR
T1 - Solving Inverse Problems for Hyperbolic Equations via the Regularization Method
AU - Yu , Wen-Hua
JO - Journal of Computational Mathematics
VL - 2
SP - 142
EP - 153
PY - 1993
DA - 1993/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9312.html
KW - 
AB - <p style="text-align: justify;">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. &nbsp;</p>