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@article{IVM_2011_5_a7, author = {E. A. Utkina}, title = {A uniqueness theorem for solution of one {Dirichlet} problem}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {62--67}, publisher = {mathdoc}, number = {5}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2011_5_a7/} }
E. A. Utkina. A uniqueness theorem for solution of one Dirichlet problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 62-67. http://geodesic.mathdoc.fr/item/IVM_2011_5_a7/
[1] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1976
[2] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR
[3] Berezanskii Yu. M., “O zadache tipa Dirikhle dlya uravneniya kolebaniya struny”, UMZh, 12:4 (1960), 363–372 | MR
[4] Vakhaniya N. N., “Ob odnoi kraevoi zadache s zadaniem na vsei granitse dlya giperbolicheskoi sistemy, ekvivalentnoi uravneniyu kolebanii struny”, DAN SSSR, 116:6 (1957), 906–909 | Zbl
[5] Vakhaniya N. N., “O zadache Dirikhle dlya uravneniya kolebanii struny”, Soobsch. AN GruzSSR, 21:2 (1958), 131–138 | Zbl
[6] Fokin M. V., Nekorrektnye kraevye zadachi dlya neklassicheskikh uravnenii matematicheskoi fiziki, SO AN SSSR, Novosibirsk, 1981, 178–182
[7] Abdul-Latif A. I., “Dirichlet, Neumann and mixed Dirichlet–Neumann value problems for $u_{xy}=0$ in rectangles”, Proc. Roy. Soc. Edinburgh Ser. A, 82:1–2 (1978), 107–110 | MR | Zbl
[8] Kiguradze T., “On the correctness of Dirichlet problem in a characteristic rectangle for fourth order linear hyperbolic equations”, Georgian Math. J., 6:5 (1999), 447–470 | DOI | MR | Zbl
[9] Soldatov A. P., Shkhanukov M. Kh., “Kraevye zadachi s obschim nelokalnym usloviem A. A. Samarskogo dlya psevdoparabolicheskikh uravnenii vysokogo poryadka”, DAN SSSR, 297:3 (1987), 547–552 | MR
[10] Colton D., “Pseudoparabolic equations in one space variable”, J. Diff. Equ., 12:3 (1972), 559–565 | DOI | MR | Zbl
[11] Zhegalov V. I., Mironov A. N., Differentsialnye uravneniya so starshimi chastnymi proizvodnymi, Kazansk. matem. o-vo, Kazan, 2001