Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers
ESAIM: COCV, 5 (2000) 45-70
Published online: 2002-08-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Lagrange Multiplier Method for Variational Theory and Optimal Control and Beyond
Yabin Shao, Ji-Huan He and Yue ShenWSEAS TRANSACTIONS ON MATHEMATICS 23 998 (2024)
https://doi.org/10.37394/23206.2024.23.103
A new relaxation method for optimal control of semilinear elliptic variational inequalities obstacle problems
EL Hassene Osmani, Mounir Haddou and Naceurdine BensalemNumerical Algebra, Control and Optimization 13 (1) 169 (2023)
https://doi.org/10.3934/naco.2021061
On second-order optimality conditions for optimal control problems governed by the obstacle problem
Constantin Christof and Gerd WachsmuthOptimization 70 (10) 2247 (2021)
https://doi.org/10.1080/02331934.2020.1778686
On the optimal control of some nonsmooth distributed parameter systems arising in mechanics
J.C. De Los ReyesGAMM-Mitteilungen 40 (4) 268 (2018)
https://doi.org/10.1002/gamm.201740002
The structure of optimal parameters for image restoration problems
J.C. De Los Reyes, C.-B. Schönlieb and T. ValkonenJournal of Mathematical Analysis and Applications 434 (1) 464 (2016)
https://doi.org/10.1016/j.jmaa.2015.09.023
Mathematical Programs with Complementarity Constraints in Banach Spaces
Gerd WachsmuthJournal of Optimization Theory and Applications 166 (2) 480 (2015)
https://doi.org/10.1007/s10957-014-0695-3
On a Highly Nonlinear Self-Obstacle Optimal Control Problem
Daniela Di Donato and Dimitri MugnaiApplied Mathematics & Optimization 72 (2) 261 (2015)
https://doi.org/10.1007/s00245-014-9279-8
Path-following for optimal control of stationary variational inequalities
Karl Kunisch and Daniel WachsmuthComputational Optimization and Applications 51 (3) 1345 (2012)
https://doi.org/10.1007/s10589-011-9400-8
Convergence of distributed optimal control problems governed by elliptic variational inequalities
Mahdi Boukrouche and Domingo A. TarziaComputational Optimization and Applications 53 (2) 375 (2012)
https://doi.org/10.1007/s10589-011-9438-7
Advances in Dynamic Games
Alberto Bressan and Wen ShenAnnals of the International Society of Dynamic Games, Advances in Dynamic Games 11 399 (2011)
https://doi.org/10.1007/978-0-8176-8089-3_20
Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities
Karl Kunisch and Daniel WachsmuthESAIM: Control, Optimisation and Calculus of Variations (2011)
https://doi.org/10.1051/cocv/2011105
On calmness conditions in convex bilevel programming
R. Henrion and T. SurowiecApplicable Analysis 90 (6) 951 (2011)
https://doi.org/10.1080/00036811.2010.495339
A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs
M. Hintermüller and I. KopackaComputational Optimization and Applications 50 (1) 111 (2011)
https://doi.org/10.1007/s10589-009-9307-9
Optimal Control of a Class of Variational Inequalities of the Second Kind
Juan Carlos De Los ReyesSIAM Journal on Control and Optimization 49 (4) 1629 (2011)
https://doi.org/10.1137/090764438
Existence, uniqueness, and convergence of optimal control problems associated with parabolic variational inequalities of the second kind
Mahdi Boukrouche and Domingo A. TarziaNonlinear Analysis: Real World Applications 12 (4) 2211 (2011)
https://doi.org/10.1016/j.nonrwa.2011.01.003
A Penalization Approach for Tomographic Reconstruction of Binary Axially Symmetric Objects
R. Abraham, M. Bergounioux and E. TrélatApplied Mathematics and Optimization 58 (3) 345 (2008)
https://doi.org/10.1007/s00245-008-9039-8
An Inverse Problem for a Parabolic Variational Inequality with an Integro-Differential Operator
Yves AchdouSIAM Journal on Control and Optimization 47 (2) 733 (2008)
https://doi.org/10.1137/060660692
An Inverse Problem for a Parabolic Variational Inequality Arising in Volatility Calibration with American Options
Yves AchdouSIAM Journal on Control and Optimization 43 (5) 1583 (2005)
https://doi.org/10.1137/S0363012903424423
Numerical Procedure for Calibration of Volatility with American Options
Yves Achdou and Olivier PironneauApplied Mathematical Finance 12 (3) 201 (2005)
https://doi.org/10.1080/1350486042000297252
Control and Estimation of Distributed Parameter Systems
M. Bergounioux and M. HaddouControl and Estimation of Distributed Parameter Systems 57 (2003)
https://doi.org/10.1007/978-3-0348-8001-5_4
Inverse Coefficient Problems for Variational Inequalities: Optimality Conditions and Numerical Realization
Michael HintermüllerESAIM: Mathematical Modelling and Numerical Analysis 35 (1) 129 (2001)
https://doi.org/10.1051/m2an:2001109