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):

Advances in Interdisciplinary Mathematical Research

Sadou Tao and Ousseynou Nakoulima
Advances in Interdisciplinary Mathematical Research 167 (2013)
DOI: 10.1007/978-1-4614-6345-0_9
See this article

Exact null internal controllability for the heat equation on unbounded convex domains

Viorel Barbu
ESAIM: Control, Optimisation and Calculus of Variations 20 (1) 222 (2014)
DOI: 10.1051/cocv/2013062
See this article

A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems

Farid Ammar-Khodja, Assia Benabdallah, Cédric Dupaix and Manuel González-Burgos
Journal of Evolution Equations 9 (2) 267 (2009)
DOI: 10.1007/s00028-009-0008-8
See this article

A Nonstandard Approach to a Data Assimilation Problem and Tychonov Regularization Revisited

Jean-Pierre Puel
SIAM Journal on Control and Optimization 48 (2) 1089 (2009)
DOI: 10.1137/060670961
See this article

Carleman estimates and controllability results for the one-dimensional heat equation with BV coefficients

Jérôme Le Rousseau
Comptes Rendus Mathematique 344 (3) 175 (2007)
DOI: 10.1016/j.crma.2006.12.011
See this article

Optimal control for distributed linear systems subjected to null-controllability

Michelle Mercan
Applicable Analysis 92 (9) 1928 (2013)
DOI: 10.1080/00036811.2012.711821
See this article

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations

Jérôme Le Rousseau and Gilles Lebeau
ESAIM: Control, Optimisation and Calculus of Variations 18 (3) 712 (2012)
DOI: 10.1051/cocv/2011168
See this article

Carleman estimates for the parabolic transmission problem and Hölder propagation of smallness across an interface

Elisa Francini and Sergio Vessella
Journal of Differential Equations 265 (6) 2375 (2018)
DOI: 10.1016/j.jde.2018.04.033
See this article

A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem

Lucie Baudouin, Alberto Mercado and Axel Osses
Inverse Problems 23 (1) 257 (2007)
DOI: 10.1088/0266-5611/23/1/014
See this article

An inverse problem for Schrödinger equations with discontinuous main coefficient

Lucie Baudouin and Alberto Mercado
Applicable Analysis 87 (10-11) 1145 (2008)
DOI: 10.1080/00036810802140673
See this article

Controllability for a parabolic equation with a nonlinear term involving the state and the gradient

Xu Youjun and Liu Zhenhai
Acta Mathematica Scientia 30 (5) 1593 (2010)
DOI: 10.1016/S0252-9602(10)60152-X
See this article

Carleman estimates and controllability results for the one-dimensional heat equation with BV coefficients

Jérôme Le Rousseau
Journal of Differential Equations 233 (2) 417 (2007)
DOI: 10.1016/j.jde.2006.10.005
See this article

Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem

Assia Benabdallah, Yves Dermenjian and Jérôme Le Rousseau
Journal of Mathematical Analysis and Applications 336 (2) 865 (2007)
DOI: 10.1016/j.jmaa.2007.03.024
See this article

Null Controllability of Three-dimensional Heat Equation in Singular Domains

A. H. Belghazi
Acta Applicandae Mathematicae 134 (1) 87 (2014)
DOI: 10.1007/s10440-014-9871-6
See this article

Carleman inequalities for the heat equation in singular domains

Abdelhakim Belghazi, Ferroudja Smadhi, Nawel Zaidi and Ouahiba Zair
Comptes Rendus Mathematique 348 (5-6) 277 (2010)
DOI: 10.1016/j.crma.2010.02.007
See this article

Carleman estimates for stratified media

Assia Benabdallah, Yves Dermenjian and Jérôme Le Rousseau
Journal of Functional Analysis 260 (12) 3645 (2011)
DOI: 10.1016/j.jfa.2011.02.007
See this article

Handbook of Differential Equations: Evolutionary Equations

Enrique Zuazua
Handbook of Differential Equations: Evolutionary Equations 3 527 (2007)
DOI: 10.1016/S1874-5717(07)80010-7
See this article

Carleman Estimates for Some Non-Smooth Anisotropic Media

Assia Benabdallah, Yves Dermenjian and Laetitia Thevenet
Communications in Partial Differential Equations 38 (10) 1763 (2013)
DOI: 10.1080/03605302.2013.804552
See this article

Polynomial decay and control of a 1−d hyperbolic–parabolic coupled system

Xu Zhang and Enrique Zuazua
Journal of Differential Equations 204 (2) 380 (2004)
DOI: 10.1016/j.jde.2004.02.004
See this article

Carleman estimates for anisotropic elliptic operators with jumps at an interface

Jérôme Le Rousseau and Nicolas Lerner
Analysis & PDE 6 (7) 1601 (2013)
DOI: 10.2140/apde.2013.6.1601
See this article

On the controllability of linear parabolic equations with an arbitrary control location for stratified media

Assia Benabdallah, Yves Dermenjian and Jérôme Le Rousseau
Comptes Rendus Mathematique 344 (6) 357 (2007)
DOI: 10.1016/j.crma.2007.01.012
See this article

Carleman estimates for the one-dimensional heat equation with non-smooth coefficients and applications

A Benabdallah, Y Dermenjian and J Le Rousseau
Journal of Physics: Conference Series 73 012004 (2007)
DOI: 10.1088/1742-6596/73/1/012004
See this article

Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces

Jérôme Le Rousseau and Luc Robbiano
Inventiones mathematicae 183 (2) 245 (2011)
DOI: 10.1007/s00222-010-0278-3
See this article

Carleman estimates for parabolic equations and applications

Masahiro Yamamoto
Inverse Problems 25 (12) 123013 (2009)
DOI: 10.1088/0266-5611/25/12/123013
See this article

Optimal control for distributed systems subject to null-controllability. Application to discriminating sentinels

Ousseynou Nakoulima
ESAIM: Control, Optimisation and Calculus of Variations 13 (4) 623 (2007)
DOI: 10.1051/cocv:2007038
See this article

Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient, and applications

Assia Benabdallah, Yves Dermenjian and Jérôme Le Rousseau
Comptes Rendus Mécanique 334 (10) 582 (2006)
DOI: 10.1016/j.crme.2006.07.001
See this article

Carleman inequalities for the two-dimensional heat equation in singular domains

Ouahiba Zair, Nawel Zaidi, Ferroudja Smadhi and Abdelhakim Belghazi
Mathematical Control and Related Fields 2 (4) 331 (2012)
DOI: 10.3934/mcrf.2012.2.331
See this article

Rotated weights in global Carleman estimates applied to an inverse problem for the wave equation

A Doubova and A Osses
Inverse Problems 22 (1) 265 (2006)
DOI: 10.1088/0266-5611/22/1/015
See this article

Null controllability of Kolmogorov-type equations

K. Beauchard
Mathematics of Control, Signals, and Systems 26 (1) 145 (2014)
DOI: 10.1007/s00498-013-0110-x
See this article

Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation

Assia Benabdallah, Patricia Gaitan and Jérôme Le Rousseau
SIAM Journal on Control and Optimization 46 (5) 1849 (2007)
DOI: 10.1137/050640047
See this article

Uniqueness and Hölder stability of discontinuous diffusion coefficients in three related inverse problems for the heat equation

Olivier Poisson
Inverse Problems 24 (2) 025012 (2008)
DOI: 10.1088/0266-5611/24/2/025012
See this article

Null controllability for the semilinear heat equation in a non-smooth domain

Tarik Ali-Ziane, Zahia Ferhoune and Ouahiba Zair
Comptes Rendus Mathematique 353 (3) 229 (2015)
DOI: 10.1016/j.crma.2015.01.005
See this article

Carleman estimates for the heat equation with discontinuous diffusion coefficients

Olivier Poisson
Applicable Analysis 87 (10-11) 1129 (2008)
DOI: 10.1080/00036810802140665
See this article

Inverse source problem for a transmission problem for a parabolic equation

M. Bellassoued and M. Yamamoto
Journal of Inverse and Ill-posed Problems 14 (1) 47 (2006)
DOI: 10.1515/156939406776237456
See this article

Carleman Estimate for Elliptic Operators with Coefficients with Jumps at an Interface in Arbitrary Dimension and Application to the Null Controllability of Linear Parabolic Equations

Jérôme Le Rousseau and Luc Robbiano
Archive for Rational Mechanics and Analysis 195 (3) 953 (2010)
DOI: 10.1007/s00205-009-0242-9
See this article

The Control Transmutation Method and the Cost of Fast Controls

Luc Miller
SIAM Journal on Control and Optimization 45 (2) 762 (2006)
DOI: 10.1137/S0363012904440654
See this article

Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case

Tarik Ali Ziane, Hadjer Ouzzane and Ouahiba Zair
Applicable Analysis 97 (14) 2412 (2018)
DOI: 10.1080/00036811.2017.1371298
See this article

Carleman estimate for a one-dimensional system of m coupled parabolic PDEs with BV diffusion coefficients

Hichem Ramoul
Boundary Value Problems 2014 (1) 195 (2014)
DOI: 10.1186/s13661-014-0195-2
See this article

Controllability for a parabolic equation with a nonlinear term involving the state and the gradient

Youjun Xu, Jing Li and Zhenhai Liu
Journal of Applied Mathematics and Computing 29 (1-2) 197 (2009)
DOI: 10.1007/s12190-008-0124-6
See this article

Exact Controllability to Trajectories for a Semilinear Heat Equation with a Superlinear Nonlinearity

Youjun Xu and Zhenhai Liu
Acta Applicandae Mathematicae 110 (1) 57 (2010)
DOI: 10.1007/s10440-008-9385-1
See this article

A weighted identity for stochastic partial differential operators and its applications

Xiaoyu Fu and Xu Liu
Journal of Differential Equations 262 (6) 3551 (2017)
DOI: 10.1016/j.jde.2016.11.035
See this article