Voir la notice de l'article provenant de la source Math-Net.Ru
@article{JSFU_2012_5_4_a6, author = {Yuri Ya. Belov and Kirill V. Korshun}, title = {An identification problem of source function in the {Burgers-type} equation}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {497--506}, publisher = {mathdoc}, volume = {5}, number = {4}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a6/} }
TY - JOUR AU - Yuri Ya. Belov AU - Kirill V. Korshun TI - An identification problem of source function in the Burgers-type equation JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2012 SP - 497 EP - 506 VL - 5 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a6/ LA - ru ID - JSFU_2012_5_4_a6 ER -
%0 Journal Article %A Yuri Ya. Belov %A Kirill V. Korshun %T An identification problem of source function in the Burgers-type equation %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2012 %P 497-506 %V 5 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a6/ %G ru %F JSFU_2012_5_4_a6
Yuri Ya. Belov; Kirill V. Korshun. An identification problem of source function in the Burgers-type equation. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 4, pp. 497-506. http://geodesic.mathdoc.fr/item/JSFU_2012_5_4_a6/
[1] I. M. Burgers, “A mathematical model illustrating the theory of turbulence”, Advances of mechanics, 1 (1948), 171–199 | DOI | MR
[2] E. Hopf, “The partial differential equation $u_t+uu_x=\mu u_{xx}$”, Comm. Pure Appl. Math., 3:3 (1950), 201–230 | DOI | MR | Zbl
[3] I. D. Cole, “On a quasilinear parabolic equation occuring in aerodynamics”, Quart. Appl. Math., 9 (1951), 225–236 | MR | Zbl
[4] B. L. Rozhdestvenskii, N. N. Yanenko, Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978 | MR
[5] Yu. Ya. Belov, Inverse problems for partial differential equations, VSP, Utrecht etc., 2002 | MR | Zbl
[6] A. I. Prilepko, D. G. Orlovsky, I. A. Vasin, Methods for Solving Inverse Problems in Mathematical Physics, Marcel Dekker, inc., New York, 1999 | MR
[7] V. G. Romanov, Ustoichivost v obratnykh zadachakh, Nauchnyi mir, M., 2005 | MR
[8] N. N. Yanenko, Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki, Nauka, sibirskoe otdelenie, Novosibirsk, 1967 | MR | Zbl
[9] Yu. Ya. Belov, S. A. Kantor, Metod slaboi approksimatsii, KrasGU, Krasnoyarsk, 1999
[10] A. M. Ilin, A. S. Kalashnikov, O. A. Oleinik, “Lineinye uravneniya vtorogo poryadka parabolicheskogo tipa”, Uspekhi mat. nauk, 17:3 (1962), 3–146 | MR | Zbl
[11] E. Kamke, Spravochnik po differentsialnym uravneniyam v chastnykh proizvodnykh pervogo poryadka, Nauka, M., 1966 | Zbl
[12] V. A. Trenogin, Funktsionalnyi analiz, Nauka, M., 1980 | MR | Zbl
[13] A. N. Tikhonov, A. A. Samarskii, Uravneniya matematicheskoi fiziki, Nauka, M., 1977