Sequence-based necessary second-order optimality conditions for semilinear elliptic optimal control problems with nonsmooth data

10.1007/s11117-018-0602-5 ◽

2018 ◽

Vol 23 (1) ◽

pp. 195-217 ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Nonsmooth Data ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Second-order necessary optimality conditions for semilinear elliptic optimal control problems

Applicable Analysis ◽

10.1080/00036811.2016.1148691 ◽

2016 ◽

Vol 96 (4) ◽

pp. 626-651 ◽

Author(s):

V. H. Nhu ◽

N. H. Son ◽

J. C. Yao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Second-Order Necessary Optimality Conditions for a Class of Semilinear Elliptic Optimal Control Problems with Mixed Pointwise Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130917570 ◽

2014 ◽

Vol 52 (2) ◽

pp. 1166-1202 ◽

Author(s):

B. T. Kien ◽

V. H. Nhu

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Pointwise Constraints

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Second-Order Optimality Conditions for Weak and Strong Local Solutions of Parabolic Optimal Control Problems

Vietnam Journal of Mathematics ◽

10.1007/s10013-015-0175-6 ◽

2015 ◽

Vol 44 (1) ◽

pp. 181-202 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Local Solutions ◽

Parabolic Optimal Control

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Second-Order Optimality Conditions for a Semilinear Elliptic Optimal Control Problem with Mixed Pointwise Constraints

Set-Valued and Variational Analysis ◽

10.1007/s11228-016-0373-8 ◽

2016 ◽

Vol 25 (1) ◽

pp. 177-210 ◽

Author(s):

B. T. Kien ◽

V. H. Nhu ◽

N. H. Son

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problem ◽

Elliptic Optimal Control ◽

Pointwise Constraints

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A discontinuous interpolated finite volume approximation of semilinear elliptic optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22181 ◽

2017 ◽

Vol 33 (6) ◽

pp. 2090-2113 ◽

Author(s):

Ruchi Sandilya ◽

Sarvesh Kumar

Keyword(s):

Optimal Control ◽

Finite Volume ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Volume Approximation ◽

Elliptic Optimal Control ◽

Finite Volume Approximation

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Second-Order and Stability Analysis for State-Constrained Elliptic Optimal Control Problems with Sparse Controls

SIAM Journal on Control and Optimization ◽

10.1137/130917314 ◽

2014 ◽

Vol 52 (2) ◽

pp. 1010-1033 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Stability Analysis ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Necessary Second-Order Optimality Conditions in Distributed-Boundary Semilinear Elliptic Optimal Control with Twice Directionally Differentiable Functions

Results in Mathematics ◽

10.1007/s00025-019-1051-6 ◽

2019 ◽

Vol 74 (4) ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Differentiable Functions ◽

Semilinear Elliptic ◽

Elliptic Optimal Control

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On second-order optimality conditions for optimal control problems governed by the obstacle problem

Optimization ◽

10.1080/02331934.2020.1778686 ◽

2020 ◽

pp. 1-41

Author(s):

Constantin Christof ◽

Gerd Wachsmuth

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Obstacle Problem ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions

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First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/080720048 ◽

2009 ◽

Vol 48 (2) ◽

pp. 688-718 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Second Order ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Quasilinear Elliptic

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A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems

Computational Mathematics and Modeling ◽

10.1007/s10598-013-9164-3 ◽

2013 ◽

Vol 24 (1) ◽

pp. 114-135 ◽

Author(s):

Zuliang Lu ◽

Yanping Chen

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

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