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p-Adic Analogue of the Wave Equation
Nanjing Univ Finance & Econ, China.
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modelling Phys & Cognit Sci)ORCID iD: 0000-0002-9857-0938
2019 (English)In: Journal of Fourier Analysis and Applications, ISSN 1069-5869, E-ISSN 1531-5851, Vol. 25, no 5, p. 2447-2462Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer, 2019. Vol. 25, no 5, p. 2447-2462
Keywords [en]
Cauchy problem, p-Adic elliptic equation, Regularized solution
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-90853DOI: 10.1007/s00041-019-09668-yISI: 000504219600006Scopus ID: 2-s2.0-85061475409OAI: oai:DiVA.org:lnu-90853DiVA, id: diva2:1384772
Available from: 2020-01-10 Created: 2020-01-10 Last updated: 2020-12-14Bibliographically approved

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Khrennikov, Andrei

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