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p-Adic Analogue of the Wave Equation |
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| Authors: | Wu Bo Khrennikov Andrei |
| Affiliation: | 1.Department of Mathematics, Nanjing University of Finance & Economics, Nanjing, 210023, China ;2.International Center for Mathematical Modelling in Physics and Cognitive Science, Mathematical Institute, Linnnaeus University, Vaxjo, 351 95, Vaxjo, Sweden ; |
| Abstract: | In this paper, a p-adic analogue of the wave equation with Lipschitz source is considered. Since it is hard to arrive the solution of the problem, we propose a regularized method to solve the problem from a modified p-adic integral equation. Moreover, we give an iterative scheme for numerical computation of the regularlized solution. |
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