Dirichlet Problem for an Elliptic Equation with Three Singular Coefficients

We prove the unique solvability of the first boundary-value problem for an elliptic equation with three singular coefficients in a rectangular parallelepiped. Using the method of energy integrals, we prove the uniqueness of a solution to the problem. We prove the existence of a solution by the spect...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-05, Vol.254 (6), p.731-742
Hauptverfasser:	Urinov, A. K., Karimov, K. T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Asymptotic series Boundary value problems Convergence Dirichlet problem Existence theorems Fourier series Mathematics Mathematics and Statistics Parallelepipeds
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