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

E. Casas

doi:10.1007/s002459900104

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 ◽

Cited By ~ 31

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 ◽

Cited By ~ 48

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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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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Optimality conditions for state-constrained control problems of quasilinear elliptic equations

[1991] Proceedings of the 30th IEEE Conference on Decision and Control ◽

10.1109/cdc.1991.261766 ◽

2002 ◽

Cited By ~ 1

Author(s):

E. Casas ◽

L.A. Fernandez

Keyword(s):

Optimality Conditions ◽

Elliptic Equations ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Constrained Control ◽

Quasilinear Elliptic ◽

Constrained Control Problems

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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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 20

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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Necessary optimality conditions for infinite dimensional state constrained control problems

Journal of Differential Equations ◽

10.1016/j.jde.2018.02.012 ◽

2018 ◽

Vol 264 (12) ◽

pp. 7294-7327 ◽

Cited By ~ 3

Author(s):

H. Frankowska ◽

E.M. Marchini ◽

M. Mazzola

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Control Problems ◽

Constrained Control ◽

Infinite Dimensional ◽

Constrained Control Problems

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State-constrained control problems of quasilinear elliptic equations

Optimal Control of Partial Differential Equations - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0043211 ◽

2006 ◽

pp. 11-25 ◽

Cited By ~ 4

Author(s):

Eduardo Casas ◽

Luis A. Fernández

Keyword(s):

Elliptic Equations ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Constrained Control ◽

Quasilinear Elliptic ◽

Constrained Control Problems

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Positive solutions of a class of second order semilinear elliptic equations in the plane

Mathematische Annalen ◽

10.1007/bf01456089 ◽

1984 ◽

Vol 268 (2) ◽

pp. 255-264 ◽

Cited By ~ 20

Author(s):

Taka?i Kusano ◽

Hiroyuki Usami

Keyword(s):

Positive Solutions ◽

Elliptic Equations ◽

Second Order ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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The behavior of solutions of semilinear elliptic equations of second order of the form Lu = e u in the infinite cylinder

Mathematical Notes ◽

10.1134/s0001434609030109 ◽

2009 ◽

Vol 85 (3-4) ◽

pp. 397-408

Author(s):

A. V. Neklyudov

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Semilinear Elliptic Equations ◽

Infinite Cylinder ◽

Semilinear Elliptic

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Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions

Applied Mathematics & Optimization ◽

10.1007/s00245-009-9087-8 ◽

2009 ◽

Vol 61 (3) ◽

pp. 337-351 ◽

Cited By ~ 1

Author(s):

Yousong Luo

Keyword(s):

Boundary Conditions ◽

Optimality Conditions ◽

Elliptic Equations ◽

Necessary Optimality Conditions ◽

Control Problems

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