Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Semilinear Parabolic Equations

Set-Valued and Variational Analysis ◽

10.1007/s11228-020-00555-z ◽

2020 ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Lagrange Multiplier ◽

Parabolic Equations ◽

Second Order ◽

Semilinear Parabolic Equations ◽

Multiplier Rules ◽

Multiobjective Optimal Control ◽

Semilinear 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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Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-021-09803-6 ◽

2021 ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Lagrange Multiplier ◽

State Constraints ◽

Second Order ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Multiplier Rules ◽

Multiobjective Optimal Control ◽

Pointwise Constraints

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Optimal control problems governed by some semilinear parabolic equations

Nonlinear Analysis ◽

10.1016/j.na.2003.09.013 ◽

2004 ◽

Vol 56 (2) ◽

pp. 241-252 ◽

Author(s):

Sang-Uk Ryu

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Blow Up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions

Springer Proceedings in Mathematics & Statistics - Computational Analysis ◽

10.1007/978-3-319-28443-9_15 ◽

2016 ◽

pp. 211-224

Author(s):

Jamila Kalantarova ◽

Mustafa Polat

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Blow Up ◽

Second Order ◽

Robin Boundary Conditions ◽

Semilinear Parabolic Equations ◽

Robin Boundary ◽

Semilinear Parabolic

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Fast High-Order Compact Exponential Time Differencing Runge–Kutta Methods for Second-Order Semilinear Parabolic Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0117-1 ◽

2015 ◽

Vol 67 (3) ◽

pp. 1043-1065 ◽

Author(s):

Liyong Zhu ◽

Lili Ju ◽

Weidong Zhao

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Semilinear Parabolic Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Runge Kutta ◽

Semilinear Parabolic

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The existence of time optimal control of semilinear parabolic equations

Systems & Control Letters ◽

10.1016/j.sysconle.2004.04.002 ◽

2004 ◽

Vol 53 (3-4) ◽

pp. 171-175 ◽

Author(s):

Gengsheng Wang

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Time Optimal Control ◽

Semilinear Parabolic Equations ◽

Time Optimal ◽

Semilinear Parabolic

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On the Semigroup Approach for the Optimal Control of Semilinear Parabolic Equations Including Distributed and Boundary Control

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/364 ◽

1989 ◽

Vol 8 (5) ◽

pp. 431-443 ◽

Author(s):

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Boundary Control ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Semigroup Approach ◽

Semilinear Parabolic

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Hybrid optimal control problems for a class of semilinear parabolic equations

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2018060 ◽

2018 ◽

Vol 11 (6) ◽

pp. 1031-1060 ◽

Author(s):

Sébastien Court ◽

◽

Karl Kunisch ◽

Laurent Pfeiffer ◽

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Hybrid Optimal Control ◽

Semilinear Parabolic

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Optimal control problems for distributed parameter systems governed by semilinear parabolic equations in l1 and l∞ spaces

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

10.1007/bfb0043215 ◽

2006 ◽

pp. 68-80 ◽

Author(s):

H. O. Fattorini

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Distributed Parameter Systems ◽

Distributed Parameter ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Optimal Control of Semilinear Parabolic Equations by BV-Functions

SIAM Journal on Control and Optimization ◽

10.1137/16m1056511 ◽

2017 ◽

Vol 55 (3) ◽

pp. 1752-1788 ◽

Author(s):

Eduardo Casas ◽

Florian Kruse ◽

Karl Kunisch

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Bv Functions ◽

Semilinear Parabolic

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