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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     author = {K. I. Khudaverdiyev and M. N. Heydarova},
     title = {On classical solvability of one-dimensional mixed problem for fourth order semilinear biparabolic equations},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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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/