Approximation of a singularly perturbed elliptic problem of optimal control
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Publication:2710731
DOI10.1070/SM2000V191N10ABEH000512zbMath0983.49018MaRDI QIDQ2710731
Publication date: 28 April 2002
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Singular perturbations in context of PDEs (35B25)
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Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint ⋮ A complete asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with geometric constraints ⋮ Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary ⋮ Uniqueness and asymptotics of singularly perturbed equations involving implicit boundary conditions ⋮ Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints ⋮ Asymptotics of the solution of a singular optimal distributed control problem in a convex domain ⋮ Asymptotic expansion for the solution of an optimal boundary control problem in a doubly connected domain with different control intensity on boundary segments
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