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

Fredi Tröltzsch

doi:10.4171/zaa/364

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 ◽

Cited By ~ 7

Author(s):

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Boundary Control ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Semigroup Approach ◽

Semilinear Parabolic

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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 ◽

Cited By ~ 11

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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Optimality conditions for stochastic boundary control problems governed by semilinear parabolic equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.05.071 ◽

2012 ◽

Vol 395 (2) ◽

pp. 654-672 ◽

Cited By ~ 1

Author(s):

Huaiqiang Yu ◽

Bin Liu

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Parabolic Equations ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Boundary Control Problems ◽

Semilinear Parabolic ◽

Stochastic Boundary

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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 ◽

Cited By ~ 25

Author(s):

Gengsheng Wang

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Time Optimal Control ◽

Semilinear Parabolic Equations ◽

Time Optimal ◽

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 ◽

Cited By ~ 2

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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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 ◽

Cited By ~ 1

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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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 ◽

Cited By ~ 4

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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Dirichlet Boundary Control of Semilinear Parabolic Equations Part 1: Problems with No State Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-001-0035-5 ◽

2002 ◽

Vol 45 (2) ◽

pp. 125-143 ◽

Cited By ~ 13

Author(s):

N. Arada ◽

J. -P. Raymond

Keyword(s):

Boundary Control ◽

Parabolic Equations ◽

State Constraints ◽

Dirichlet Boundary ◽

Semilinear Parabolic Equations ◽

Dirichlet Boundary Control ◽

Semilinear Parabolic

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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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Dirichlet Boundary Control of Semilinear Parabolic Equations Part 2: Problems with Pointwise State Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-001-0036-4 ◽

2002 ◽

Vol 45 (2) ◽

pp. 145-167 ◽

Cited By ~ 10

Author(s):

N. Arada ◽

J. -P. Raymond

Keyword(s):

Boundary Control ◽

Parabolic Equations ◽

State Constraints ◽

Dirichlet Boundary ◽

Semilinear Parabolic Equations ◽

Dirichlet Boundary Control ◽

Pointwise State Constraints ◽

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 ◽

Cited By ~ 8

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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