Asymptotics for solutions of problem on optimally distributed control in convex domain with small parameter at one of higher derivatives
Aleksei Rufimovich Danilin
Abstract:We consider a problem on optimally distributed control in a planar strictly convex domain with a smooth boundary and a small parameter at one of the higher derivatives in the elliptic operator. On the boundary of the domain the homogeneous Dirichlet condition is imposed, while the control is additively involved in an inhomogeneity. As a set of admissible controls we use a unit ball in the corresponding space of square integrable functions. The solutions of the studied boundary value problem are treated in the … Show more
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