OPTIMALITY CONDITIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH CONTROLS IN LEADING TERM

HONGWEI LOU

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OPTIMALITY CONDITIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH CONTROLS IN LEADING TERM

机译：最优控制的半线性抛物方程的最优性条件

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摘要

An optimal control problem for semilinear parabolic partial differential equations is considered. 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.

机译：考虑了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前导项中。通过均匀化尖峰变化的方法，可以确定最佳控制条件。还陈述了具有状态约束的问题的结果。

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来源
《ESAIM》 |2011年第4期|p.975-994|共20页
作者
HONGWEI LOU;
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作者单位

School of Mathematical Sciences, and LMNS, Fudan University, Shanghai 200433, P.R. China;

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原文格式 PDF
正文语种 eng
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关键词
optimal control; necessary conditions; parabolic equation; homogenized spike variation;

机译：最佳控制;必要条件;抛物线方程均质尖峰变化;

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专利

1. OPTIMALITY CONDITIONS FOR SEMILINEAR ELLIPTIC EQUATIONS WITH LEADING TERM CONTAINING CONTROLS [J] . HONGWEI LOU, JIONGMIN YONG SIAM Journal on Control and Optimization . 2010,第4期

机译：具有主导条件的半线性椭圆型方程的最优性条件
2. SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL CONTROL OF SEMILINEAR ELLIPTIC EQUATIONS WITH LEADING TERM CONTAINING CONTROLS [J] . Lou Hongwei, Yong Jiongmin Mathematical control and related fields . 2018,第1期

机译：二阶必要条件，用于具有含有控制的前期术语的半线性椭圆方程的最佳控制
3. SECOND-ORDER SUFFICIENT OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL OF NONSMOOTH, SEMILINEAR PARABOLIC EQUATIONS [J] . Betz Livia M. SIAM Journal on Control and Optimization . 2019,第6期

机译：二阶足够的最佳最优性条件，用于最佳控制非线性控制，半线性抛物线方程
4. Necessary Conditions for Optimal Controls of Semilinear Parabolic Equations with Control in the Leading Term [C] . Hongwei Lou International Conference on Numerical Analysis and Applied Mathematics . 2009

机译：在领先术语中对具有控制的半线性抛物线方程的最佳控制的必要条件
5. Analysis and approximations of terminal-state tracking optimal control problems and controllability problems constrained by linear and semilinear parabolic partial differential equations. [D] . Kwon, Hee-Dae. 2003

机译：线性和半线性抛物型偏微分方程约束的终端状态跟踪最优控制问题和可控制性问题的分析和逼近。
6. Optimal Control Under Fuzzy Conditions for Dynamical Systems Associated with the Second Order Linear Differential Equations [O] . Svetlana Asmuss, Natalja Budkina -1

机译：与二阶线性微分方程有关的动力学系统在模糊条件下的最优控制
7. 10 Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term ∗ [O] . Hongwei Lou 2016

机译：具有控制的半线性抛物方程的10个最优性条件*

OPTIMALITY CONDITIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH CONTROLS IN LEADING TERM

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