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- W2600902007 abstract "An optimal control problem for a semilinear elliptic equation of divergence form is considered. Both the leading term and the semilinear term of the state equation contain the control. The well-known Pontryagin type maximum principle for the optimal controls is the first-order necessary condition. When such a first-order necessary condition is singular in some sense, certain type of the second-order necessary condition will come in naturally. The aim of this paper is to explore such kind of conditions for our optimal control problem." @default.
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- W2600902007 date "2017-03-25" @default.
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- W2600902007 title "Second-Order Necessary Conditions for Optimal Control of Semilinear Elliptic Equations with Leading Term Containing Controls" @default.
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- W2600902007 doi "https://doi.org/10.48550/arxiv.1703.08649" @default.
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