Email this article Poisson Formulas for Boundary Value Problems for the Euler–Poisson–Darboux Equation
- Authors: Lyakhov L.N.1, Yeletskikh K.S.2, Sanina E.L.1
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Affiliations:
- Voronezh State University
- Bunin Yelets State University
- Issue: Vol 239, No 3 (2019)
- Pages: 329-338
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242667
- DOI: https://doi.org/10.1007/s10958-019-04308-8
- ID: 242667
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Abstract
We consider the Cauchy problem for the Euler–Poisson–Darboux equation with boundary conditions. The Bessel operators in the equation can have different parameters. We establish a representation of the solution in the form of the Poisson formula with a special shift generated by the product of cylindrical functions of the first kind and different orders.
About the authors
L. N. Lyakhov
Voronezh State University
Author for correspondence.
Email: levnlya@mail.ru
Russian Federation, 1, Universitetskaya pl., Voronezh, 394006
K. S. Yeletskikh
Bunin Yelets State University
Email: levnlya@mail.ru
Russian Federation, 28, Kommunarov St., Yelets, 399770
E. L. Sanina
Voronezh State University
Email: levnlya@mail.ru
Russian Federation, 1, Universitetskaya pl., Voronezh, 394006
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