Cauchy Problem for a System of Equations of Ultraparabolic Type
Matematičeskie zametki, Tome 77 (2005) no. 5, pp. 768-774.

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is devoted to the proof of the existence of a solution of the Cauchy problem for a system of equations of ultraparabolic type.
@article{MZM_2005_77_5_a10,
     author = {S. A. Tersenov},
     title = {Cauchy {Problem} for a {System} of {Equations} of {Ultraparabolic} {Type}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {768--774},
     publisher = {mathdoc},
     volume = {77},
     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a10/}
}
TY  - JOUR
AU  - S. A. Tersenov
TI  - Cauchy Problem for a System of Equations of Ultraparabolic Type
JO  - Matematičeskie zametki
PY  - 2005
SP  - 768
EP  - 774
VL  - 77
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a10/
LA  - ru
ID  - MZM_2005_77_5_a10
ER  - 
%0 Journal Article
%A S. A. Tersenov
%T Cauchy Problem for a System of Equations of Ultraparabolic Type
%J Matematičeskie zametki
%D 2005
%P 768-774
%V 77
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a10/
%G ru
%F MZM_2005_77_5_a10
S. A. Tersenov. Cauchy Problem for a System of Equations of Ultraparabolic Type. Matematičeskie zametki, Tome 77 (2005) no. 5, pp. 768-774. http://geodesic.mathdoc.fr/item/MZM_2005_77_5_a10/

[1] Tersenov S. A., “Ob osnovnykh kraevykh zadachakh dlya odnogo ultraparabolicheskogo uravneniya”, Sib. matem. zh., 40:6 (1999), 1364–1376 | Zbl

[2] Genchev N. S., “Ob ultraparabolicheskikh uravneniyakh”, Dokl. AN SSSR, 151:2 (1963), 205–268

[3] Vladimirov V. S., Drozhzhinov Yu. N., “Obobschennaya zadacha Koshi dlya ultraparabolicheskogo uravneniya”, Izv. AN SSSR. Ser. matem., 31:6 (1967), 1341–1360 | Zbl

[4] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967

[5] Amirov Sh., “Smeshannaya zadacha dlya ultraparabolicheskogo uravneniya v ogranichennykh oblastyakh”, Korrektno postavlennye kraevye zadachi dlya neklassicheskikh uravnenii matematicheskoi fiziki, IM SO AN SSSR, Novosibirsk, 1984

[6] Gomboev L. G., “O korrektno postavlennoi zadache dlya uravneniya ultraparabolicheskogo tipa”, Nekotorye problemy differentsialnykh uravnenii i diskretnoi matematiki, NGU, Novosibirsk, 1986, 44–51 | MR

[7] Pyatkov S. G., “Razreshimost kraevykh zadach dlya odnogo ultraparabolicheskogo uravneniya”, Neklassicheskie uravneniya i uravneniya smeshannogo tipa, IM SO AN SSSR, Novosibirsk, 1990, 182–197 | Zbl

[8] Shatyro Ya. I., “Pervaya kraevaya zadacha dlya odnogo ultraparabolicheskogo uravneniya”, Differents. uravneniya, 1971, no. 7, 1089–1141

[9] Tersenov A. S., “Apriornye otsenki dlya odnogo klassa vyrozhdayuschikhsya parabolicheskikh i ultraparabolicheskikh uravnenii”, Dokl. RAN, 338:2 (1994), 168–170 | MR | Zbl

[10] Manfredini M., “The Dirichlet problem for a class of ultraparabolic equations”, Adv. Differential Equations, 2:5 (1997), 831–866 | MR | Zbl

[11] Polidoro S., “On a class of ultraparabolic operators of Kolmogorov–Fokker–Planck type”, Matematiche (Catania), 49:1 (1994), 53–105 | MR | Zbl

[12] Ilin A. M., “Ob odnom klasse ultraparabolicheskikh uravnenii”, Dokl. AN SSSR, 159:6 (1964), 1214–1217

[13] Kirov G. Hr., “The Dirichlet problem for a certain ultraparabolic equation”, Godišnik Visš. Tehn. Učebn. Zaved. Mat., 6:2 (1970), 101–118