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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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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Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations

Computational Optimization and Applications ◽

10.1007/s10589-011-9440-0 ◽

2011 ◽

Vol 52 (3) ◽

pp. 719-756 ◽

Cited By ~ 5

Author(s):

Eduardo Casas ◽

Vili Dhamo

Keyword(s):

Error Estimates ◽

Elliptic Equations ◽

Numerical Approximation ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Quasilinear Elliptic

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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 ◽

Cited By ~ 32

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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Optimal control problems for quasilinear elliptic equations with optimality criterion on the border

Actual directions of scientific researches of the XXI century theory and practice ◽

10.12737/6335 ◽

2014 ◽

Vol 2 (5) ◽

pp. 41-42

Author(s):

R. Kasimova

Keyword(s):

Optimal Control ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Optimality Criterion ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Quasilinear Elliptic

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Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2010025 ◽

2010 ◽

Vol 17 (3) ◽

pp. 771-800 ◽

Cited By ~ 3

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Numerical Analysis ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Quasilinear Elliptic

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On some optimal control problems and their finite difference approximations and regularization for quasilinear elliptic equations with controls in the coefficients

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507030037 ◽

2007 ◽

Vol 47 (3) ◽

pp. 361-380 ◽

Cited By ~ 9

Author(s):

F. V. Lubyshev ◽

A. R. Manapova

Keyword(s):

Optimal Control ◽

Finite Difference ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Quasilinear Elliptic

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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 ◽

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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Dealing with Integral State Constraints in Boundary Control Problems of Quasilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/s0363012992234633 ◽

1995 ◽

Vol 33 (2) ◽

pp. 568-589 ◽

Cited By ~ 11

Author(s):

Eduardo Casas ◽

Luis A. Fernández

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

State Constraints ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Boundary Control Problems ◽

Quasilinear Elliptic

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A Pontryagin's Principle for Boundary Control Problems of Quasilinear Elliptic Equations

partial differential equation methods in control and shape analysis ◽

10.1201/9781482273618-6 ◽

1997 ◽

pp. 79-92

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Pontryagin’S Principle ◽

Pontryagin's Principle ◽

Boundary Control Problems ◽

Quasilinear Elliptic

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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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