Abstract:
A bisingular problem of optimal boundary control for solutions of an elliptic equation in a bounded domain with a smooth boundary is considered. The coefficient of the Laplacian is assumed to be small, and integral constraints are imposed on the control. A complete asymptotic expansion in powers of the small parameter is obtained for the solution of the problem.
Key words:singular problems, optimal control, boundary value problems for systems of partial differential equations, asymptotic expansions.
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