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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Acknowledgements
The first author was supported by National Natural Science Foundation of China (Grant No.11701270), Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 17KJB110003) and the Jiangsu Government Scholarship for Overseas Studies. We are grateful to Prof. Weiyi Su for fruitful discussions and valuable comments.
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Communicated by Hans G. Feichtinger.
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Wu, B., Khrennikov, A. p-Adic Analogue of the Wave Equation. J Fourier Anal Appl 25, 2447–2462 (2019). https://doi.org/10.1007/s00041-019-09668-y
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DOI: https://doi.org/10.1007/s00041-019-09668-y