Geodesic
Problems with nonlinear boundary conditions for a~hyperbolic equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 278 (2012), pp. 208-216.

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Two problems with nonlinear boundary conditions are studied. Existence and uniqueness theorems are proved for generalized solutions to each problem. 
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Ludmila S. Pulkina. Problems with nonlinear boundary conditions for a~hyperbolic equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 278 (2012), pp. 208-216. http://geodesic.mathdoc.fr/item/TM_2012_278_a18/

[1] Kondratev V.A., “Asimptotika reshenii ellipticheskikh uravnenii s nelineinymi kraevymi usloviyami”, Sovremennye problemy matematiki i mekhaniki, 5, no. 1, Izd-vo MGU, M., 2009, 77–87

[2] Kondratev V.A., “O polozhitelnykh resheniyakh uravneniya teploprovodnosti, udovletvoryayuschikh nelineinomu kraevomu usloviyu”, Dif. uravneniya, 46:8 (2010), 1104–1112 | MR | Zbl

[3] Filimonova I.V., “O povedenii reshenii polulineinogo parabolicheskogo ili ellipticheskogo uravneniya, udovletvoryayuschikh nelineinomu kraevomu usloviyu v tsilindricheskoi oblasti”, Tr. sem. im. I.G. Petrovskogo, 26, 2007, 368–389 | MR

[4] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR | Zbl

[5] Korpusov M.O., Sveshnikov A.G., “O dostatochnykh usloviyakh razrusheniya resheniya uravneniya Bussineska s nelineinym granichnym usloviem Neimana”, ZhVMiMF, 48:11 (2008), 2042–2045 | MR

[6] Doronin G.G., Lar'kin N.A., Souza A.J., “A hyperbolic problem with nonlinear second-order boundary damping”, Electron. J. Diff. Eqns., 1998, 28 | MR | Zbl

[7] Tikhonov A.N., Samarskii A.A., Uravneniya matematicheskoi fiziki, Nauka, M., 1966 | MR | Zbl

[8] Ladyzhenskaya O.A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR