Geodesic
Boundary Value Problem for one Parabolic Equation with Changing Time Direction with Complete Matrix of Sewing Conditions
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 57-68 
M. S. Tulasynov. Boundary Value Problem for one Parabolic Equation with Changing Time Direction with Complete Matrix of Sewing Conditions. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 57-68. http://geodesic.mathdoc.fr/item/VNGU_2009_9_1_a5/
@article{VNGU_2009_9_1_a5,
     author = {M. S. Tulasynov},
     title = {Boundary {Value} {Problem} for one {Parabolic} {Equation} with {Changing} {Time} {Direction} with {Complete} {Matrix} of {Sewing} {Conditions}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {57--68},
     year = {2009},
     volume = {9},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper is searched correctness of solvability of boundary value problem for some parabolic equation with changing time direction with complete matrix of sewing conditions. The result of this paper is explicit description of solvability conditions of formulated boundary value problem.

[1] Tersenov S. A., Vvedenie v teoriyu uravnenii parabolicheskogo tipa s menyayuschimsya napravleniem vremeni, Sib. otd-nie AN SSSR, In-t matematiki, Novosibirsk, 1982 | MR

[2] Tersenov S. A., Parabolicheskie uravneniya s menyayuschimsya napravleniem vremeni, Nauka, Novosibirsk, 1985 | MR | Zbl

[3] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967 | MR

[4] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977 | MR

[5] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968 | MR