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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Translated from Problemy Matematicheskogo Analiza97, 2019, pp. 83-90.
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Lyakhov, L.N., Yeletskikh, K.S. & Sanina, E.L. Poisson Formulas for Boundary Value Problems for the Euler–Poisson–Darboux Equation. J Math Sci 239, 329–338 (2019). https://doi.org/10.1007/s10958-019-04308-8
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DOI: https://doi.org/10.1007/s10958-019-04308-8