Geodesic
The keldysh problem for a mixed-type three-dimensional equation with three singular coefficients
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 34 (2021) no. 1, pp. 29-46

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In this article, we study the Keldysh problem for a three-dimensional mixed-type equation with three singular coefficients in a rectangular parallelepiped. Based on the completeness property of systems of eigenfunctions of two one-dimensional spectral problems, a uniqueness theorem is proved. The solution to the problem posed is constructed as the sum of a double Fourier-Bessel series.
Keywords: Keldysh problem, mixed type equation, spectral method, Bessel function.
Mots-clés : singular coefficient 
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     title = {The keldysh problem for a mixed-type three-dimensional equation with three singular coefficients},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
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K. T. Karimov. The keldysh problem for a mixed-type three-dimensional equation with three singular coefficients. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 34 (2021) no. 1, pp. 29-46. http://geodesic.mathdoc.fr/item/VKAM_2021_34_1_a2/