Optimal Control of Semilinear Parabolic Equations with $\k$-Approximate Periodic Solutions
Optimal Control of Semilinear Parabolic Equations with $\k$-Approximate Periodic Solutions
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DOI：
10.1137/060665063
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发表时间：
2007-10
期刊：
影响因子：
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通讯作者：
L. Lei;GengshengBB Wang
中科院分区：
文献类型：
--
作者：
L. Lei;GengshengBB Wang
In this paper, we study some optimal control problems governed by certain semilinear parabolic equations with ${\mathcal K}$-approximate periodic solutions. We first prove the existence and uniqueness theorems for ${\mathcal K}$-approximate periodic solutions of the equations. We then use these results to establish the qualified Pontryagin maximum principle. The existence for such optimal controls is also investigated in the paper.
