Abstract
We study the solvability of the Gellerstedt problem for the Lavrent’ev-Bitsadze equation under an inhomogeneous boundary condition on the half-circle of the ellipticity domain of the equation, homogeneous boundary conditions on external, internal, and parallel side characteristics of the hyperbolicity domain of the equation, and the transmission conditions on the type change line of the equation.
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References
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Original Russian Text © T.E. Moiseev, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 10, pp. 1454–1456.
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Moiseev, T.E. On the solution of the Gellerstedt problem for the Lavrent’ev-Bitsadze equation. Diff Equat 48, 1433–1435 (2012). https://doi.org/10.1134/S001226611210014X
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DOI: https://doi.org/10.1134/S001226611210014X