Geodesic
Characteristic boundary problems for the Liouville equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 40-47
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We obtain formulas for solutions of problems with boundary conditions of the 1st, 2nd, and 3rd kind.
Mots-clés : Liouville equation
Keywords: boundary value problems, solvability conditions. 
@article{IVM_2008_11_a3,
     author = {V. I. Zhegalov and A. A. Kungurtsev},
     title = {Characteristic boundary problems for the {Liouville} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {40--47},
     year = {2008},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_11_a3/}
}
TY  - JOUR
AU  - V. I. Zhegalov
AU  - A. A. Kungurtsev
TI  - Characteristic boundary problems for the Liouville equation
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2008
SP  - 40
EP  - 47
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/IVM_2008_11_a3/
LA  - ru
ID  - IVM_2008_11_a3
ER  - 
%0 Journal Article
%A V. I. Zhegalov
%A A. A. Kungurtsev
%T Characteristic boundary problems for the Liouville equation
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2008
%P 40-47
%N 11
%U http://geodesic.mathdoc.fr/item/IVM_2008_11_a3/
%G ru
%F IVM_2008_11_a3
V. I. Zhegalov; A. A. Kungurtsev. Characteristic boundary problems for the Liouville equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 40-47. http://geodesic.mathdoc.fr/item/IVM_2008_11_a3/

[1] Bitsadze A. V., Uravneniya matematicheskoi fiziki, Nauka, M., 1982, 336 pp.

[2] Bitsadze A. V., Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981, 448 pp. | MR

[3] Smirnov M. M., Differentsialnye uravneniya v chastnykh proizvodnykh vtorogo poryadka, Nauka, M., 1964, 205 pp. | MR

[4] Trikomi F., Lektsii po uravneniyam v chastnykh proizvodnykh, In. lit., M., 1957, 443 pp.

[5] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1972, 736 pp.

[6] Zhegalov V. I., “Relation between the boundary values of Goursat problem and the normal derivatives”, Conditonally well-posed problems, TVP Sci. Publ., Moscow, 1994, 346–349

[7] Zhegalov V. I., Mironov A. N., Differentsialnye uravneniya so starshimi chastnymi proizvodnymi, Kazansk. matem. o-vo, Kazan, 2001, 226 pp.