Solvability of conjugate problems for quasiparabolic equations of third order
Matematičeskie zametki SVFU, Tome 23 (2016) no. 1, pp. 16-27

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We study solvability of conjugate problems (generalized diffraction problems) for quasiparabolic equations of odd order. We prove existence and uniqueness theorems for regular solutions to these problems.
Mots-clés : quasiparabolic equation, conjugation problem, existence
Keywords: uniqueness, a priori estimate, regular solution.
E. I. Atlasova. Solvability of conjugate problems for quasiparabolic equations of third order. Matematičeskie zametki SVFU, Tome 23 (2016) no. 1, pp. 16-27. http://geodesic.mathdoc.fr/item/SVFU_2016_23_1_a2/
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[1] Dubinskii Yu. A., “Boundary value problems for some differential-operator equations of high order”, Soviet Math. Dokl., 196:1 (1971), 32–35

[2] Egorov I. E. and Fedorov V. E., Nonclassical equations of mathematical physics of high order, Comput. Center SB RAS, Novosibirsk, 1995 | MR

[3] Lukina G. A., “On solvability of space-nonlocal problems for an equation of third order”, Mat. Zam. YaGU, 17:1 (2010), 35–46 | Zbl

[4] Shubin V. V., “Boundary-value problems for equations of third order with a discontinuous coefficient”, Vestn. Novosib. Gos. Univ., Ser. Mat., Mekh., Inform., 12:11 (2012), 126–138 | Zbl

[5] Atlasova E. I., “A conjugation problem for forth order quasihyperbolic equations”, Yak. Math. J., 21:4 (2014), 3–13 | Zbl

[6] Ladyzhenskaya O. A. and Uraltseva N. N., Linear and quasilinear equations of elliptic type, Nauka, Moscow, 1973 | MR

[7] Trenogin V. A., Functional analysis, Nauka, Moscow, 1980 | MR