Geodesic
Correctness of Dirichlet problem for degenerating multi-dimensional hyperbolic-parabolic equations
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 4, pp. 3-8 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Unique solbability to Dirichlet's problem in the cylindrical domain for degenerated multidimensional hyperbolic-parabolic equation is shown in the article. 
@article{VMJ_2014_16_4_a0,
     author = {S. A. Aldashev},
     title = {Correctness of {Dirichlet} problem for degenerating multi-dimensional hyperbolic-parabolic equations},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {3--8},
     year = {2014},
     volume = {16},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a0/}
}
TY  - JOUR
AU  - S. A. Aldashev
TI  - Correctness of Dirichlet problem for degenerating multi-dimensional hyperbolic-parabolic equations
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2014
SP  - 3
EP  - 8
VL  - 16
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a0/
LA  - ru
ID  - VMJ_2014_16_4_a0
ER  - 
%0 Journal Article
%A S. A. Aldashev
%T Correctness of Dirichlet problem for degenerating multi-dimensional hyperbolic-parabolic equations
%J Vladikavkazskij matematičeskij žurnal
%D 2014
%P 3-8
%V 16
%N 4
%U http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a0/
%G ru
%F VMJ_2014_16_4_a0
S. A. Aldashev. Correctness of Dirichlet problem for degenerating multi-dimensional hyperbolic-parabolic equations. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 4, pp. 3-8. http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a0/

[1] Nakhushev A. M., Zadachi so smescheniem dlya uravneniya v chastnykh proizvodnykh, Nauka, M., 2006, 287 pp.

[2] Vragov V. N., Kraevye zadachi dlya neklassicheskikh uravnenii matematicheskoi fiziki, NGU, Novosibirsk, 1983, 84 pp.

[3] Mikhlin S. G., Mnogomernye singulyarnye integraly i integralnye uravneniya, Fizmatgiz, M., 1962, 254 pp. | MR

[4] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1966, 724 pp. | MR

[5] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1965, 703 pp. | MR

[6] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. 2, Nauka, M., 1974, 297 pp.

[7] Aldashev S. A., “Korrektnost zadachi Dirikhle i Puankare v tsilindricheskoi oblasti dlya mnogomernogo uravneniya Chaplygina”, Vladikavk. mat. zhurn., 15:2 (2013), 3–10 | MR

[8] Aldashev S. A., “Korrektnost zadachi Dirikhle i Puankare v tsilindricheskoi oblasti dlya vyrozhdayuschikhsya mnogomernykh giperbolicheskikh uravnenii s operatorom Chaplygina”, Nauchnye vedomosti BelGU. Matematika i fizika, 2012, no. 5(124), vyp. 26, 12–25