Abstract
For a degenerate hyperbolic equation with a singular coefficient in the characteristic triangle, the well-posedness of a problem with an analog of the Bitsadze–Samarskii condition on the boundary and parallel internal characteristics is proven.
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REFERENCES
A. V. Bitsadze and A. A. Samarskii, “Some elementary generalizations of linear elliptic boundary value problems,” Sov. Math. Dokl. 10, 398–400 (1969).
M. S. Salakhitdinov and M. Mirsaburov, Nonlocal Problems for Mixed-Type Equations with Singular Coefficients (Universitet, Tashkent, 2005) [in Russian].
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Translated by I. Tselishcheva
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Mirsaburova, G.M. Problem with an Analog of the Bitsadze–Samaraskii Condition for One Class of Degenerate Hyperbolic Equations. Russ Math. 66, 43–47 (2022). https://doi.org/10.3103/S1066369X22060068
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DOI: https://doi.org/10.3103/S1066369X22060068