Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls
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Publication:1713344
DOI10.3934/mcrf.2018003zbMath1407.49028arXiv1703.08649OpenAlexW2963640973MaRDI QIDQ1713344
Publication date: 24 January 2019
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.08649
Optimality conditions for problems involving partial differential equations (49K20) Semilinear elliptic equations (35J61) PDEs in connection with control and optimization (35Q93)
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Second-order analysis of Fokker–Planck ensemble optimal control problems ⋮ Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations ⋮ Optimization of the principal eigenvalue for elliptic operators ⋮ Second order optimality conditions for periodic optimal control problems governed by semilinear parabolic differential equations ⋮ 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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