p-Adic Analogue of the Wave Equation

  • Bo WuEmail author
  • Andrei Khrennikov


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.


Cauchy problem p-Adic elliptic equation Regularized solution 

Mathematics Subject Classification

11F85 46S10 47G30 



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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Authors and Affiliations

  1. 1.Department of MathematicsNanjing University of Finance & EconomicsNanjingChina
  2. 2.International Center for Mathematical Modelling in Physics and Cognitive Science, Mathematical InstituteLinnnaeus University, VaxjoVaxjoSweden

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