Regularity of multipliers in second-order optimality conditions for semilinear elliptic control problems

Applicable Analysis ◽

10.1080/00036811.2021.1895983 ◽

2021 ◽

pp. 1-13

Author(s):

T. D. Binh ◽

B. T. Kien ◽

X. Qin ◽

C.-F. Wen

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/s0363012900382011 ◽

2002 ◽

Vol 40 (5) ◽

pp. 1431-1454 ◽

Author(s):

Eduardo Casas ◽

Mariano Mateos

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints

Optimal Control of Partial Differential Equations ◽

10.1007/978-3-0348-8691-8_8 ◽

1999 ◽

pp. 89-97

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch ◽

Andreas Unger

Keyword(s):

Optimality Conditions ◽

Elliptic Equations ◽

State Constraints ◽

Second Order ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic

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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 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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Variational Approach to Second-Order Optimality Conditions for Control Problems with Pure State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/110828320 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1139-1173 ◽

Author(s):

Daniel Hoehener

Keyword(s):

Optimality Conditions ◽

Variational Approach ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Pure State Constraints

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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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Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

SIAM Journal on Optimization ◽

10.1137/07068240x ◽

2008 ◽

Vol 19 (2) ◽

pp. 616-643 ◽

Author(s):

Eduardo Casas ◽

Juan Carlos de los Reyes ◽

Fredi Tröltzsch

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Pointwise State Constraints ◽

Second Order Optimality Conditions

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Second order sufficient optimality conditions for a class of elliptic control problems

ESAIM Proceedings ◽

10.1051/proc:1998034 ◽

1998 ◽

Vol 4 ◽

pp. 285-300

Author(s):

E. Casas ◽

F. Tröltzsch ◽

A. Unger

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Elliptic Control Problems

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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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