Universal Journal of Mathematics and Applications (Sep 2018)
Existence and uniqueness of an inverse problem for a second order hyperbolic equation
Abstract
In this paper, an initial boundary value problem for a second order hyperbolic equation is considered. Giving an additional condition, a time-dependent coefficient multiplying a linear term is determined and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem numerically.
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