Ill-posed problem for the biharmonic equation

Subject Ill-posed problems
Title Ill-posed problem for the biharmonic equation
Author(s) Muvasharkhan Jenaliyev, Kanzharbek Imanberdiyev, Karakoz Aimenova
Keywords Biharmonic equation, ill-posed problem, inverse problem, optimal control.
Abstract In this paper consider the boundary value problem in two-dimensional rectangular domain for the biharmonic equation. Studied ill-posed boundary value problem is reduced to the optimal control problem. In terms of solutions of the adjoint boundary value problem we set optimality conditions. It is found strong criterion solvability ill-posed boundary value problem.