Literature Cited
I. S. Berezin, “Cauchy problem for second-order linear equations with initial data on a line of parabolicity,” Mat. Sb.,24, No. 2, 301–320 (1949).
M. V. Keldysh, “Degenerate equation of elliptic type on the boundary of a domain,” Dokl. Akad. Nauk SSSR,77, No. 2, 181–183 (1951).
M. H. Protter, “The Cauchy problem for a hyperbolic second-order equation with data on the parabolic line,” Can. J. Math.,6, No. 4, 542–553 (1954).
A. V. Bitsadze, “A class of equations of mixed type,” in: Some Problems of Mathematics and Mechanics [in Russian], Nauka, Leningrad (1970), pp. 112–119.
S. A. Tersenov, Introduction to the Theory of Equations Which Degenerate on the Boundary [in Russian], Novosibirsk Univ. (1973).
M. M. Smirnov, Degenerate Hyperbolic Equations [in Russian], Vyshéishaya Shkola, Minsk (1977).
V. N. Vragov, “Goursat and Darboux problems for a class of hyperbolic equations,” Diff. Uravn.,8, No. 1 7–16 (1972).
B. A. Bubnov, “Goursat and Darboux problems for a class of hyperbolic equations,” Sib. Mat. Zh.,19, No. 2, 461–465 (1978).
Khe Kan Cher, “Cauchy-Goursat problem for a degenerate hyperbolic equation,” in: Well-Posed Boundary Problems for Nonclassical Equations of Mathematical Physics [in Russian], Izd. Inst. Mat. Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1980), pp. 168–172.
R. Courant, Partial Differential Equations [Russian translation], Mir, Moscow (1964).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 1, pp. 180–188, January–February, 1984.
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Cher, K.K. Boundary problems for a class of degenerate hyperbolic equations. Sib Math J 25, 149–156 (1984). https://doi.org/10.1007/BF00969520
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DOI: https://doi.org/10.1007/BF00969520