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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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 Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations

Applied Mathematics & Optimization ◽

10.1007/s002459900104 ◽

1999 ◽

Vol 39 (2) ◽

pp. 211-227 ◽

Author(s):

E. Casas

Keyword(s):

Optimality Conditions ◽

Elliptic Equations ◽

Necessary Optimality Conditions ◽

Second Order ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Constrained Control ◽

Semilinear Elliptic ◽

Constrained Control Problems

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Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/s0363012997324910 ◽

2000 ◽

Vol 38 (5) ◽

pp. 1369-1391 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch ◽

Andreas Unger

Keyword(s):

Optimality Conditions ◽

Elliptic Equations ◽

Second Order ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Constrained Control ◽

Semilinear Elliptic ◽

Constrained Control Problems

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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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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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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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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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First- and second-order optimality conditions for a strong local minimum in control problems with pure state constraints

Nonlinear Analysis ◽

10.1016/j.na.2006.08.046 ◽

2007 ◽

Vol 67 (8) ◽

pp. 2506-2526 ◽

Author(s):

Zsolt Páles ◽

Vera Zeidan

Keyword(s):

Optimality Conditions ◽

Local Minimum ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Pure State Constraints ◽

Strong Local Minimum

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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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