Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain |
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Authors: | K. B. Sabitov E. V. Vagapova |
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Affiliation: | 19730. Institute of Applied Research, Academy of Sciences of Republic Bashkortostan, Sterlitamak, Russia 29730. Sterlitamak State Pedagogical Academy, Sterlitamak, Russia
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Abstract: | For an equation of elliptic-hyperbolic type with two perpendicular lines of power-law degeneration, we prove a criterion for the uniqueness of the solution of the first boundary value problem by the spectral expansion method. The solution is constructed in the form of the sum of a Fourier-Bessel series. |
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