OPTIMALITY CONDITIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH CONTROLS IN LEADING TERM

OPTIMALITY CONDITIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH CONTROLS IN LEADING TERM
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DOI：
10.1051/cocv/2010034
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发表时间：
2010-08
期刊：
ESAIM: Control, Optimisation and Calculus of Variations
影响因子：
--
通讯作者：
H. Lou
H. Lou
中科院分区：
其他
文献类型：
--
作者：
H. Lou

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考虑一类半线性抛物型偏微分方程的最优控制问题.控制变量出现在方程的首项中。用尖峰变分法建立了最优控制的必要条件。状态约束的问题的结果也说明。
An optimal control problem for semilinear parabolic partial differential equations is con- sidered. The control variable appears in the leading term of the equation. Necessary conditions for optimal controls are established by the method of homogenizing spike variation. Results for problems with state constraints are also stated.