Second order optimality conditions for nonlinear parabolic boundary control problems

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

10.1007/bfb0043217 ◽

2006 ◽

pp. 93-103 ◽

Author(s):

Helmuth Goldberg ◽

Fredi Tröltzsch

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Second Order ◽

Control Problems ◽

Parabolic Boundary ◽

Second Order Optimality Conditions ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Second-Order Sufficient Optimality Conditions for a Class of Nonlinear Parabolic Boundary Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/0331045 ◽

1993 ◽

Vol 31 (4) ◽

pp. 1007-1025 ◽

Author(s):

H. Goldberg ◽

F. Tröltzsch

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints

SIAM Journal on Optimization ◽

10.1137/15m1033629 ◽

2016 ◽

Vol 26 (3) ◽

pp. 1912-1943 ◽

Author(s):

N. H. Son ◽

B. T. Kien ◽

A. Rösch

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Boundary Control Problems ◽

Pointwise Constraints

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Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control

Optimization ◽

10.1080/02331938908843489 ◽

1989 ◽

Vol 20 (5) ◽

pp. 687-698 ◽

Author(s):

H. Golderg ◽

F. Tröltzsch

Keyword(s):

Optimality Conditions ◽

Integral Equations ◽

Boundary Control ◽

Second Order ◽

Control Problems ◽

Parabolic Boundary ◽

Second Order Optimality Conditions ◽

Linear Integral ◽

Linear Integral Equations

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Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems?Strong convergence of optimal controls

Applied Mathematics & Optimization ◽

10.1007/bf01189480 ◽

1994 ◽

Vol 29 (3) ◽

pp. 309-329 ◽

Author(s):

Fredi Tr�ltzsch

Keyword(s):

Strong Convergence ◽

Boundary Control ◽

Galerkin Approximation ◽

Control Problems ◽

Optimal Controls ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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On a SQP-Multigrid Technique for Nonlinear Parabolic Boundary Control Problems

Applied Optimization - Optimal Control ◽

10.1007/978-1-4757-6095-8_8 ◽

1998 ◽

pp. 154-177 ◽

Author(s):

Helmuth Goldberg ◽

Fredi Tröltzsch

Keyword(s):

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Semidiscrete Ritz-Galerkin Approximation of Nonlinear Parabolic Boundary Control Problems

Optimal Control ◽

10.1007/978-3-0348-7539-4_5 ◽

1993 ◽

pp. 57-68

Author(s):

Fredi Tröltzsch

Keyword(s):

Boundary Control ◽

Galerkin Approximation ◽

Control Problems ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Convergence of an SQP-Method for a Class of Nonlinear Parabolic Boundary Control Problems

Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena ◽

10.1007/978-3-0348-8530-0_19 ◽

1994 ◽

pp. 343-357 ◽

Author(s):

Fredi Tröltzsch

Keyword(s):

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Semigroup methods and approximation of nonlinear parabolic boundary control problems

System Modelling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0008394 ◽

1990 ◽

pp. 423-431

Author(s):

F. Tröltzsch

Keyword(s):

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Optimality Conditions for Boundary Control Problems of Parabolic Type

Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena ◽

10.1007/978-3-0348-8530-0_5 ◽

1994 ◽

pp. 79-96 ◽

Author(s):

Piermarco Cannarsa ◽

Maria Elisabetta Tessitore

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Parabolic Type ◽

Control Problems ◽

Boundary Control Problems

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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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