Second order optimality conditions for optimal control of quasilinear parabolic equations

Mathematical Control & Related Fields ◽

10.3934/mcrf.2018001 ◽

2018 ◽

Vol 8 (1) ◽

pp. 1-34 ◽

Author(s):

Lucas Bonifacius ◽

◽

Ira Neitzel ◽

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Parabolic Equations ◽

Second Order ◽

Quasilinear Parabolic Equations ◽

Second Order Optimality Conditions ◽

Quasilinear Parabolic

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Second-order Optimality Conditions for Optimal Control of the Primitive Equations of the Ocean with Periodic Inputs

Applied Mathematics & Optimization ◽

10.1007/s00245-010-9112-y ◽

2010 ◽

Vol 63 (1) ◽

pp. 75-106 ◽

Author(s):

T. Tachim Medjo

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Primitive Equations ◽

Second Order Optimality Conditions ◽

Periodic Inputs

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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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Monotone Finite-Difference Schemes of Second-Order Accuracy for Quasilinear Parabolic Equations with Mixed Derivatives

Differential Equations ◽

10.1134/s0012266119030157 ◽

2019 ◽

Vol 55 (3) ◽

pp. 424-436

Author(s):

P. P. Matus ◽

L. M. Hieu ◽

D. Pylak

Keyword(s):

Finite Difference ◽

Parabolic Equations ◽

Second Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Quasilinear Parabolic Equations ◽

Order Accuracy ◽

Mixed Derivatives ◽

Quasilinear Parabolic

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Second order optimality conditions in the smooth case and applications in optimal control

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2007012 ◽

2007 ◽

Vol 13 (2) ◽

pp. 207-236 ◽

Author(s):

Bernard Bonnard ◽

Jean-Baptiste Caillau ◽

Emmanuel Trélat

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

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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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Discrete Optimal Control: Second Order Optimality Conditions

The Journal of Difference Equations and Applications ◽

10.1080/1023619021000000951 ◽

2002 ◽

Vol 8 (10) ◽

pp. 875-896 ◽

Author(s):

Roman Hilscher ◽

Vera Zeidan

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control

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Wavelet method for solving second-order quasilinear parabolic equations with a conservative principal part

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542509090103 ◽

2009 ◽

Vol 49 (9) ◽

pp. 1554-1566 ◽

Author(s):

E. M. Abbasov ◽

O. A. Dyshin ◽

B. A. Suleimanov

Keyword(s):

Parabolic Equations ◽

Principal Part ◽

Second Order ◽

Quasilinear Parabolic Equations ◽

Wavelet Method ◽

Quasilinear Parabolic

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Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations

SIAM Journal on Control and Optimization ◽

10.1137/19m1239106 ◽

2019 ◽

Vol 57 (6) ◽

pp. 4033-4062 ◽

Author(s):

Livia M. Betz

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Parabolic Equations ◽

Second Order ◽

Sufficient Optimality Conditions ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Integral state-constrained optimal control problems for some quasilinear parabolic equations

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00264-8 ◽

2000 ◽

Vol 39 (8) ◽

pp. 977-996 ◽

Author(s):

Luis A. Fernández

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Quasilinear Parabolic Equations ◽

Constrained Optimal Control ◽

Quasilinear Parabolic

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Phragmen-Lindel�f type results for second order quasilinear parabolic equations in ?2

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00943507 ◽

1994 ◽

Vol 45 (2) ◽

pp. 294-311 ◽

Author(s):

Changhao Lin ◽

Lawrence E. Payne

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

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