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Boundary Value Problems for the Euler–Poisson–Darboux Equation

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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.

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Authors and Affiliations

  1. Voronezh State University, 394018, Voronezh, Russia

    L. N. Lyakhov & E. L. Sanina

  2. Bunin Yelets State University, 399770, Yelets, Lipetsk oblast, Russia

    K. S. Yeletskikh

Authors
  1. L. N. Lyakhov
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  2. K. S. Yeletskikh
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  3. E. L. Sanina
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Correspondence to L. N. Lyakhov, K. S. Yeletskikh or E. L. Sanina.

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Lyakhov, L.N., Yeletskikh, K.S. & Sanina, E.L. Boundary Value Problems for the Euler–Poisson–Darboux Equation. Lobachevskii J Math 41, 797–809 (2020). https://doi.org/10.1134/S1995080220050066

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  • DOI: https://doi.org/10.1134/S1995080220050066

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