Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SJIM_2013_16_3_a2, author = {Yu. Ya. Belov and K. V. Korshun}, title = {On an inverse problem for a {Burgers-type} equation}, journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki}, pages = {28--40}, publisher = {mathdoc}, volume = {16}, number = {3}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a2/} }
Yu. Ya. Belov; K. V. Korshun. On an inverse problem for a Burgers-type equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 28-40. http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a2/
[1] Burgers I. M., “A mathematical model illustrating the theory of turbulence”, Adv. Mech., 1 (1948), 171–199 | DOI | MR
[2] Hopf E., “The partial differential equation $u_t+uu_x=\mu u_{xx}$”, Comm. Pure Appl. Math., 3 (1950), 201–230 | DOI | MR | Zbl
[3] Cole I. D., “On a quasilinear parabolic equation occuring in aerodynamics”, Quart. Appl. Math., 9 (1951), 226–236
[4] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978 | MR
[5] Belov Yu. Ya., Inverse Problems for Partial Differential Equations, VSP, Utrecht, 2002 | MR | Zbl
[6] Belov Yu. Ya., Korshun K. V., “O zadache identifikatsii funktsii istochnika dlya uravneniya tipa Byurgersa”, Zhurn. SFU. Ser. Matematika i fizika, 5:4 (2012), 497–506
[7] Yanenko N. N., Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki, Nauka, Novosibirsk, 1967
[8] Belov Yu. Ya., Kantor S. A., Metod slaboi approksimatsii, izd. KrasGU, Krasnoyarsk, 1999
[9] Ilin A. M., Kalashnikov A. S., Oleinik O. A., “Lineinye uravneniya vtorogo poryadka parabolicheskogo tipa”, Uspekhi mat. nauk, 17:3 (1962), 3–146 | MR
[10] Kamke E., Spravochnik po differentsialnym uravneniyam v chastnykh proizvodnykh pervogo poryadka, Nauka, M., 1966 | Zbl
[11] Belov Yu. Ya., “On estimates of solutions of the split problems for some multi-dimensional partial differential equations”, J. Sib. Federal Univ. Mathematics and Physics, 2:3 (2009), 258–270
[12] Trenogin V. A., Funktsionalnyi analiz, Nauka, M., 1980 | MR | Zbl
[13] Bari N. K., Trigonometricheskie ryady, Fizmatgiz, M., 1961 | MR
[14] Polyanin A. D., Spravochnik po lineinym uravneniyam matematicheskoi fiziki, Fizmatlit, M., 2001
[15] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1988 | MR