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The Gellerstedt equation with integral perturbation in the Cauchy data. (Russian, English) Zbl 1349.35253

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 14, No. 4, 79-85 (2014); translation in J. Math. Sci., New York 213, No. 6, 910-916 (2016).
Summary: We establish the well-posedness of the problem for a degenerate hyperbolic equation of the first kind in the characteristic triangle with integral perturbation in the Cauchy data along the degeneracy line.

MSC:

35M12 Boundary value problems for PDEs of mixed type
35M10 PDEs of mixed type
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