априорная оценка

On Classical Solvability of One-Dimensional Mixed Problem for Fourth Order Semilinear Biparabolic Equations

Authors: Khudaverdiyev K. I., Heydarova M. N.

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..

Аbout Some Boundary Problems in the Semispace for a Class of Pseudo-Differential Equations with Degeneracy

Authors: Baev A. D.

Boundary problems in the halfspace for one class of the pseudodifferential equations are considered. The coercetive a priori estimations and theorems of the existence of solutions for these problems are established.

The theorem on existence and uniqueness of the solution of one boundary value problem in strip for degenerate elliptic equations of higher order

Authors: Baev A. D., Buneev S. S.

Theorem on the existence and uniqueness of the solution of the boundary value problem in the strip for one degenerate elliptic equations of higher order, which degenerate on one of boundary of the strip in the third-order equation by one variable, is proved.