On the Bitsadze problem for a multidimensional hyperbolic equation
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 3, pp. 33-36
Cet article a éte moissonné depuis la source Math-Net.Ru
In this paper, for a multidimensional hyperbolic equation the unique solvability of the Bitsadze problem is proved.
Keywords:
Bitsadze problem, hyperbolic equations.
@article{VNGU_2017_17_3_a3,
author = {T. Sh. Kalmenov},
title = {On the {Bitsadze} problem for a multidimensional hyperbolic equation},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {33--36},
year = {2017},
volume = {17},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2017_17_3_a3/}
}
T. Sh. Kalmenov. On the Bitsadze problem for a multidimensional hyperbolic equation. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 3, pp. 33-36. http://geodesic.mathdoc.fr/item/VNGU_2017_17_3_a3/
[1] A. V. Bitsadze, “Mixed type equations in three-dimensional regions”, Sov. Math., Dokl., 3 (1962), 510–512 | MR | Zbl
[2] A. M. Nakhushev, “Multidimensional analog of the darboux problem for hyperbolic equations”, Sov. Math., Dokl., 11 (1971), 1162–1165 | MR | Zbl
[3] V. N. Vragov, “The problems of goursat and darboux for a class of hyperbolic equations”, Differ. Uravn., 8:1 (1972), 7–16 (in Russian) | Zbl
[4] T. Sh. Kal'menov, “On multidimensional regular boundary value problems for the wave equation”, Izv. Akad. Nauk Kaz. SSR, 1982, no. 3, 18–25 (in Russian)
[5] A. V. Bitsadze, Equations of Mathematical Physics, Nauka, M., 1982 (in Russian)