Geodesic
On classical solvability of one-dimensional mixed problem for fourth order semilinear biparabolic equations
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 4, pp. 58-67.

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Existence and uniqueness of classical solution of one-dimensional mixed problem with Riquier type homogenous boundary conditions for one class of fourth order semilinear biparabolic equations are studied. A priori estimates method is used to prove the existence in large theorem for classical solution of mixed problem under consideration. 
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K. I. Khudaverdiyev; M. N. Heydarova. On classical solvability of one-dimensional mixed problem for fourth order semilinear biparabolic equations. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 4, pp. 58-67. http://geodesic.mathdoc.fr/item/ISU_2011_11_4_a7/

[1] Kovach Yu. I., “O kraevoi zadache dlya operatora $m_i$-go poryadka parabolicheskogo ili giperbolicheskogo vida”, Ukrainskii mat. zhurn., 21:5 (1969), 579–593

[2] Kovach Yu. I., “Ob otsenke resheniya nelineinoi sistemy s zapazdyvaniem, soderzhaschei operator $m_i$-go poryadka, parabolicheskogo ili giperbolicheskogo vida”, Chislennyi analiz, v. 2, Kiev, 1969, 20–38

[3] Yan Zhen-Ya, Xie Fu-Ding, Zhang Hong-Qing, “Symmetry reductions, integrability and solitary wave solutions to high-order modified Boussinesg equations with damping term”, Commun Theor. Phys., 36:1 (2001), 1–6 | DOI | MR | Zbl

[4] Khudaverdiev K. I., Geidarova M. N., “Issledovanie obobschënnogo resheniya odnomernoi smeshannoi zadachi dlya polulineinogo biparabolicheskogo uravneniya chetvërtogo poryadka”, Vestn. Bakin. un-ta. Ser. fiz.-mat. nauk, 2007, no. 1, 5–14

[5] Khudaverdiev K. I., Geidarova M. N., “Issledovanie resheniya pochti vsyudu odnomernoi smeshannoi zadachi dlya nelineinogo biparabolicheskogo uravneniya chetvërtogo poryadka”, Vestn. Bakin. un-ta. Ser. fiz.-mat. nauk, 2008, no. 2, 5–15

[6] Khudaverdiyev K. I., Heydarova M. N., “On existence in large for almost everywhere solution of one-dimensional mixed problem for fourth order semilinear biparabolic equation”, Proceedings of Institute of Mathematics and Mechanics of Nat. Acad. Sci. Azerb., 29, 2008, 79–96 | MR | Zbl

[7] Khudaverdiev K. I., “Issledovanie klassicheskogo resheniya mnogomernoi smeshannoi zadachi dlya odnogo klassa kvazilineinykh giperbolicheskikh uravnenii vtorogo poryadka”, Uchen. zapiski Azerb. gos. un-ta. Ser. fiz.-mat. nauk, 36:1 (1972), 3–7 | MR