Abstract:
We consider a problem of optimal control through a part of the boundary of solutions to an elliptic equation in a bounded domain with smooth boundary with a small parameter at the Laplace operator and integral constraints on the control. A complete asymptotic expansion of the solution to this problems in powers of the small parameter is constructed.
Keywords:
singular problems, optimal control, boundary value problems for systems of partial differential equations, asymptotic expansions.
Citation:
A. R. Danilin, “Solution asymptotics in a problem of optimal boundary control of a flow through a part of the boundary”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 116–127; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 55–66