Geodesic
On a mixed problem for a hyperbolic equation of the second order
Izvestiya. Mathematics , Tome 3 (1969) no. 2, pp. 357-374.

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

Using Laplace transform methods we establish existence theorems for a classical solution of a mixed problem for various forms of hyperbolic operators of the second order. 
@article{IM2_1969_3_2_a3,
     author = {V. R. Nosov},
     title = {On a mixed problem for a hyperbolic equation of the second order},
     journal = {Izvestiya. Mathematics },
     pages = {357--374},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {1969},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a3/}
}
TY  - JOUR
AU  - V. R. Nosov
TI  - On a mixed problem for a hyperbolic equation of the second order
JO  - Izvestiya. Mathematics 
PY  - 1969
SP  - 357
EP  - 374
VL  - 3
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a3/
LA  - en
ID  - IM2_1969_3_2_a3
ER  - 
%0 Journal Article
%A V. R. Nosov
%T On a mixed problem for a hyperbolic equation of the second order
%J Izvestiya. Mathematics 
%D 1969
%P 357-374
%V 3
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a3/
%G en
%F IM2_1969_3_2_a3
V. R. Nosov. On a mixed problem for a hyperbolic equation of the second order. Izvestiya. Mathematics , Tome 3 (1969) no. 2, pp. 357-374. http://geodesic.mathdoc.fr/item/IM2_1969_3_2_a3/

[1] Ladyzhenskaya O. A., Smeshannaya zadacha dlya giperbolicheskogo uravneniya, Gostekhizdat, M., 1953

[2] Ilin V. A., “O razreshimosti smeshannykh zadach dlya giperbolicheskogo i parabolicheskogo uravneniya”, Uspekhi matem. nauk, XV:2 (1960), 97–154

[3] Nosov V. R., “O smeshannoi zadache dlya giperbolicheskogo uravneniya v normalnom tsilindre”, Izv. AN SSSR. Ser. matem., 29 (1965), 861–876 | MR | Zbl

[4] Keldysh M. V., “O razreshimosti i ustoichivosti zadachi Dirikhle”, Uspekhi matem. nauk, 1941, no. 8, 171–231 | MR | Zbl

[5] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964 | MR

[6] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, AN SSSR. Sib. otdelenie, Novosibirsk, 1962

[7] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1965 | MR

[8] Kurant R., Gilbert D., Metody matematicheskoi fiziki, t. II, Gostekhizdat, M., 1951

[9] Agmon S., Duglis A., Nirenberg L., Otsenki vblizi granitsy resheniya ellipticheskikh uravnenii v chastnykh proizvodnykh pri obschikh granichnykh usloviyakh, IL, M., 1962

[10] Miranda K., Uravneniya s chastnymi proizvodnymi ellipticheskogo tipa, IL, M., 1957

[11] Ilin V. A. Shishmarev I. A., “Ravnomernye v zamknutoi oblasti otsenki dlya sobstvennykh funktsii ellipticheskogo operatora i ikh proizvodnykh”, Izv. AN SSSR. Ser. matem., 24 (1960), 883–896 | MR | Zbl