On the no-gap second-order optimality conditions for a non-smooth semilinear elliptic optimal control

Optimization ◽

10.1080/02331934.2021.1939698 ◽

2021 ◽

pp. 1-31

Author(s):

Vu Huu Nhu

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic 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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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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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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Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints

SIAM Journal on Optimization ◽

10.1137/050625850 ◽

2006 ◽

Vol 17 (3) ◽

pp. 776-794 ◽

Author(s):

A. Rösch ◽

F. Tröltzsch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Second Order Optimality Conditions ◽

Elliptic Optimal Control Problem ◽

Elliptic Optimal Control ◽

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Second-order Optimality Conditions for Optimal Control of the Primitive Equations of the Ocean with Periodic Inputs

Applied Mathematics & Optimization ◽

10.1007/s00245-010-9112-y ◽

2010 ◽

Vol 63 (1) ◽

pp. 75-106 ◽

Author(s):

T. Tachim Medjo

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Primitive Equations ◽

Second Order Optimality Conditions ◽

Periodic Inputs

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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 in the smooth case and applications in optimal control

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2007012 ◽

2007 ◽

Vol 13 (2) ◽

pp. 207-236 ◽

Author(s):

Bernard Bonnard ◽

Jean-Baptiste Caillau ◽

Emmanuel Trélat

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

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Discrete Optimal Control: Second Order Optimality Conditions

The Journal of Difference Equations and Applications ◽

10.1080/1023619021000000951 ◽

2002 ◽

Vol 8 (10) ◽

pp. 875-896 ◽

Author(s):

Roman Hilscher ◽

Vera Zeidan

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control

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