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Existence and uniqueness of an inverse problem for nonlinear Klein‐Gordon equation |
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| Authors: | Ibrahim Tekin Yashar T Mehraliyev Mansur I Ismailov |
| Abstract: | In this paper, an initial boundary value problem for nonlinear Klein‐Gordon equation is considered. Giving an additional condition, a time‐dependent coefficient multiplying nonlinear term is determined, and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem. |
| Keywords: | existence and uniqueness finite difference method Fourier method inverse coefficient problem nonlinear hyperbolic equation |