We prove that the Dirichlet and Poincar´e problems for degenerate multidimensional hyperbolic equations with Gellerstedt operator in a cylindrical domain are uniquely solvable and establish a criterion of uniqueness for the regular solutions of these problems.
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Translated from Neliniini Kolyvannya, Vol. 18, No. 1, pp. 10–19, January–March, 2015.
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Aldashev, S.A. Well-Posedness of Dirichlet and Poincaré Problems in a Cylindrical Domain for Degenerate Multidimensional Hyperbolic Equations with Gellerstedt Operator. J Math Sci 215, 274–284 (2016). https://doi.org/10.1007/s10958-016-2837-7
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DOI: https://doi.org/10.1007/s10958-016-2837-7