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DOI: 10.23671/VNC.2014.4.10251
Correctness of Dirichlet problem for degenerating multi-dimensional hyperbolic-parabolic eguations
Aldashev S. A.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 4.
Abstract: Unique solbability to Dirichlet's problem in the cylindrical domain for degenerated multidimensional hyperbolic-parabolic equation is shown in the article.
For citation: Aldashev S. A. Correctness of Dirichlet problem for degenerating multi-dimensional hyperbolic-parabolic eguations // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 4, pp. 3-8. DOI 10.23671/VNC.2014.4.10251
1. Nahushev A. M. Zadachi so Smeshheniem Dlja Uravnenija v Chastnyh
Proizvodnyh, Moskva, Nauka, 2006, 287 p. (Russian).
2. Vragov V. N. Kraevye Zadachi Dlja Neklassicheskih Uravnenij
Matematicheskoj Fiziki, Novosibirsk, NGU, 1983, 84 p. (Russian).
3. Mihlin S. G. Mnogomernye Singuljarnye Integraly i Integral'nye
Uravnenija, Moskva, Fizmatgiz, 1962, 254 p. (Russian).
4. Tihonov A. N., Samarskij A. A. Uravnenija Matematicheskoj
Fiziki, Moskva, Nauka, 1966, 724 p. (Russian).
5. Kamke Je. Spravochnik po Obyknovennym Differencial'nym Uravnenijam, Moskva, Nauka, 1965, 703 p. (Russian).
6. Bejtmen G., Jerdeji A. Vysshie Transcendentnye Funkcii. Vol. 2
[Higher Transcendental Functions], Moskva, Nauka, 1974, 297 p.
(Russian).
7. Aldashev S. A. The well-posedness of the Dirichlet and Poincare
problems in a cylindric domain for the multi-dimensional Chapligin
equation. Vladikavk. Mat. Zhurn. [Vladikavk. Math. J.], 2013, vol.
15, no. 2, pp. 3-10 (Russian).
8. Aldashev S. A. Correctness of Dirichlet's and Poincare's
problems in cylindrical domain for degenerated multidimensional
hyperbolic equations with Chapligin's operator. Nauchnye Vedomosti
BelGU. Matematika i Fizika [Belgorod State University Scientific
Bulletin. Math.&Fiz.], 2012, no. 5(124), vyp. 26, pp. 12-25
(Russian).