Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain
К. Б. СабитовInstitute of Applied Research, Academy of Sciences of Republic Bashkortostan, Sterlitamak, RussiaE. V. VagapovaInstitute of Applied Research, Academy of Sciences of Republic Bashkortostan, Sterlitamak, Russia
2013en
ABI
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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Cited by 40 references