Approximation and regularization of optimal controlling problem for not self-adjoint elliptic equation in arbitrary convex domain with controls involved in the coefficient of non-linear component and the second member of equation
F. V. Lubyshev1, A. R. Manapova2
| Annotation | Method of difference approximation and regularization of nonlinear optimal controlling problem for non self-adjoint elliptic equation with Dirichlet boundary conditions in arbitrary convex domain $\Omega\subset\R^2$ is stated. |
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| Keywords | optimal control, elliptic equation, non self-adjoint operator, difference approximation, regularization, convex domain, functional, minimizing sequence. |
1Professor of Computational Mathematics Chair, Bashkir State University, Ufa; v.lubyshev@mail.ru.
2Associate professor of Computational Mathematics Chair, Bashkir State University, Ufa; aygulrm@mail.ru.
Citation: F. V. Lubyshev, A. R. Manapova, "[Approximation and regularization of optimal controlling problem for not self-adjoint elliptic equation in arbitrary convex domain with controls involved in the coefficient of non-linear component and the second member of equation]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:2 (2010) 67–76 (In Russian)
