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Dirichlet Problem for Mixed Type Equation with Characteristic Degeneration and Singular Coefficient

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Abstract

For a mixed-type equation of the second kind with a singular coefficient by the spectral expansions uniqueness criterion is installed for solving the first boundary-value problem. The solution was constructed as the sum of a Fourier–Bessel series. In justifying the uniform convergence appeared the problem of small denominators. In connection with this evaluation is set on a small separation from zero denominator with the corresponding asymptotic behavior that allowed to justify the convergence of the series in the class of regular solutions.

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Authors and Affiliations

  1. Volga Region State Academy of Physical Culture, Sport and Tourism, 420138, Kazan, Tatarstan, Russia

    R. M. Safina

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  1. R. M. Safina
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Correspondence to R. M. Safina.

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(Submitted by E. K. Lipachev)

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Safina, R. Dirichlet Problem for Mixed Type Equation with Characteristic Degeneration and Singular Coefficient. Lobachevskii J Math 41, 80–88 (2020). https://doi.org/10.1134/S1995080220010114

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  • DOI: https://doi.org/10.1134/S1995080220010114

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