# zbMATH — the first resource for mathematics

## Fabre, Caroline

Compute Distance To:
 Author ID: fabre.caroline Published as: Fabre, C.; Fabre, Caroline External Links: MGP
 Documents Indexed: 45 Publications since 1988, including 1 Book
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#### Co-Authors

 10 single-authored 10 Destuynder, Philippe 10 Puel, Jean-Pierre 6 Amassad, Amina 5 Zuazua, Enrique 2 Bodart, Olivier 2 Chenais, Denise 2 Lebeau, Gilles 2 Wilk, Olivier 1 Bezza, Abderrahim 1 Mignot, Fulbert 1 Sofonea, Mircea 1 Tucsnak, Marius
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#### Serials

 8 Comptes Rendus de l’Académie des Sciences. Série I 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Portugaliae Mathematica 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Asymptotic Analysis 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Electronic Journal of Mathematical and Physical Sciences (EJMAPS) 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore)
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#### Fields

 29 Partial differential equations (35-XX) 13 Mechanics of deformable solids (74-XX) 13 Systems theory; control (93-XX) 10 Fluid mechanics (76-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH

28 Publications have been cited 446 times in 380 Documents Cited by Year
Approximate controllability of the semilinear heat equation. Zbl 0818.93032
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
1995
Unique continuation property for solutions of Stokes’ equations. Zbl 0849.35098
Fabre, Caroline; Lebeau, Gilles
1996
Aspects of type I-type II-heterotic triality in four dimensions. Zbl 0925.81243
Antoniadis, I.; Bachas, C.; Fabre, C.; Partouche, H.; Taylor, T. R.
1997
Controls insensitizing the norm of the solution of a semilinear heat equation. Zbl 0852.35070
Bodart, Olivier; Fabre, Caroline
1995
Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems. Zbl 0872.93039
Fabre, Caroline
1996
Heterotic/type I duality and D-brane instantons. Zbl 0933.81030
Bachas, C.; Fabre, C.; Kiritsis, E.; Obers, N. A.; Vanhove, P.
1998
Optimal control of an elastic contact problem involving Tresca fraction law. Zbl 1013.49002
Amassad, A.; Chenais, D.; Fabre, C.
2002
Threshold effects in open-string theory. Zbl 0925.81186
Bachas, C.; Fabre, C.
1996
Smoothness and uniqueness for the Stokes problem. Zbl 1090.35143
Fabre, Caroline; Lebeau, Gilles
2002
Contrôlabilité approchée de l’équation de la chaleur semi- linéaire. (Approximate controllability for the semilinear heat equation). Zbl 0770.35009
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
1992
Pointwise controllability as limit of internal controllability for the wave equation in one space dimension. Zbl 0814.35066
Fabre, Caroline; Puel, Jean-Pierre
1994
A quasistatic viscoplastic contact problem with normal compliance and friction. Zbl 1073.74041
Amassad, Amina; Fabre, Caroline; Sofonea, Mircea
2004
Analysis of a viscoelastic unilateral contact problem involving the Coulomb friction law. Zbl 1087.74042
2003
On the density of the range of the semigroup for semilinear heat equations. Zbl 0822.35075
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrique
1995
Approximate controllability for the linear heat equation with controls of minimal $$L^ \infty$$ norm. Zbl 0799.35094
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
1993
Résultats de contrôlabilité exacte interne pour l’équation de Schrödinger et leurs limites asymptotiques: Application à certaines équations de plaques vibrantes. (Results on exact internal controllability of the Schrödinger equation and their asymptotic limit: Application to certain vibrating plate equations). Zbl 0745.93005
Fabre, Caroline
1992
A modelling of springing, whipping and slamming for ships. Zbl 1152.74014
Destuynder, Philippe; Fabre, Caroline
2009
On abstract variational inequalities in viscoplasticity with frictional contact. Zbl 1152.74030
Delost, M.; Fabre, C.
2007
Existence for problems of viscoplastic contact with Coulomb friction. Zbl 1028.74039
2002
On the analysis of a viscoplastic contact problem with time dependent Tresca’s friction law. Zbl 1154.74325
2002
Uniqueness results for Stokes equations and applications in control problems. Zbl 0861.35073
Fabre, Caroline
1996
Behavior near the boundary for solutions of the wave equation. Zbl 0796.35099
Fabre, Caroline; Puel, Jean-Pierre
1993
Few remarks on the use of love waves in non destructive testing. Zbl 1348.35315
Destuynder, Philippe; Fabre, Caroline
2016
Exact boundary controllability of the wave equation as the limit of internal controllability. Zbl 0762.93004
Fabre, Caroline
1992
Can we hear the echos of cracks? Zbl 1380.74117
Destuynder, Philippe; Fabre, Caroline
2018
Singularities occurring in multimaterials with transparent boundary conditions. Zbl 1416.74046
Destuynder, Philippe; Fabre, Caroline
2016
Existence of controls insensitizing the state of the solutions of semilinear heat equations. Zbl 0796.35078
Bodart, Olivier; Fabre, Caroline
1993
Boundary approximate controllability for semilinear heat equations. Zbl 0796.93059
Fabre, Caroline; Puel, Jean-Pierre
1993
Can we hear the echos of cracks? Zbl 1380.74117
Destuynder, Philippe; Fabre, Caroline
2018
Few remarks on the use of love waves in non destructive testing. Zbl 1348.35315
Destuynder, Philippe; Fabre, Caroline
2016
Singularities occurring in multimaterials with transparent boundary conditions. Zbl 1416.74046
Destuynder, Philippe; Fabre, Caroline
2016
A modelling of springing, whipping and slamming for ships. Zbl 1152.74014
Destuynder, Philippe; Fabre, Caroline
2009
On abstract variational inequalities in viscoplasticity with frictional contact. Zbl 1152.74030
Delost, M.; Fabre, C.
2007
A quasistatic viscoplastic contact problem with normal compliance and friction. Zbl 1073.74041
Amassad, Amina; Fabre, Caroline; Sofonea, Mircea
2004
Analysis of a viscoelastic unilateral contact problem involving the Coulomb friction law. Zbl 1087.74042
2003
Optimal control of an elastic contact problem involving Tresca fraction law. Zbl 1013.49002
Amassad, A.; Chenais, D.; Fabre, C.
2002
Smoothness and uniqueness for the Stokes problem. Zbl 1090.35143
Fabre, Caroline; Lebeau, Gilles
2002
Existence for problems of viscoplastic contact with Coulomb friction. Zbl 1028.74039
2002
On the analysis of a viscoplastic contact problem with time dependent Tresca’s friction law. Zbl 1154.74325
2002
Heterotic/type I duality and D-brane instantons. Zbl 0933.81030
Bachas, C.; Fabre, C.; Kiritsis, E.; Obers, N. A.; Vanhove, P.
1998
Aspects of type I-type II-heterotic triality in four dimensions. Zbl 0925.81243
Antoniadis, I.; Bachas, C.; Fabre, C.; Partouche, H.; Taylor, T. R.
1997
Unique continuation property for solutions of Stokes’ equations. Zbl 0849.35098
Fabre, Caroline; Lebeau, Gilles
1996
Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems. Zbl 0872.93039
Fabre, Caroline
1996
Threshold effects in open-string theory. Zbl 0925.81186
Bachas, C.; Fabre, C.
1996
Uniqueness results for Stokes equations and applications in control problems. Zbl 0861.35073
Fabre, Caroline
1996
Approximate controllability of the semilinear heat equation. Zbl 0818.93032
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
1995
Controls insensitizing the norm of the solution of a semilinear heat equation. Zbl 0852.35070
Bodart, Olivier; Fabre, Caroline
1995
On the density of the range of the semigroup for semilinear heat equations. Zbl 0822.35075
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrique
1995
Pointwise controllability as limit of internal controllability for the wave equation in one space dimension. Zbl 0814.35066
Fabre, Caroline; Puel, Jean-Pierre
1994
Approximate controllability for the linear heat equation with controls of minimal $$L^ \infty$$ norm. Zbl 0799.35094
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
1993
Behavior near the boundary for solutions of the wave equation. Zbl 0796.35099
Fabre, Caroline; Puel, Jean-Pierre
1993
Existence of controls insensitizing the state of the solutions of semilinear heat equations. Zbl 0796.35078
Bodart, Olivier; Fabre, Caroline
1993
Boundary approximate controllability for semilinear heat equations. Zbl 0796.93059
Fabre, Caroline; Puel, Jean-Pierre
1993
Contrôlabilité approchée de l’équation de la chaleur semi- linéaire. (Approximate controllability for the semilinear heat equation). Zbl 0770.35009
Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike
1992
Résultats de contrôlabilité exacte interne pour l’équation de Schrödinger et leurs limites asymptotiques: Application à certaines équations de plaques vibrantes. (Results on exact internal controllability of the Schrödinger equation and their asymptotic limit: Application to certain vibrating plate equations). Zbl 0745.93005
Fabre, Caroline
1992
Exact boundary controllability of the wave equation as the limit of internal controllability. Zbl 0762.93004
Fabre, Caroline
1992
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#### Cited by 453 Authors

 32 Fernández-Cara, Enrique 14 Zuazua, Enrique 12 de Teresa, Luz 12 González-Burgos, Manuel 10 Limaco, Juan 10 Puel, Jean-Pierre 9 Guerrero, Sergio 9 Imanuvilov, Oleg Yu. 9 Sofonea, Mircea 8 De Menezes, Silvano Bezerra 8 Gao, Hang 7 Fabre, Caroline 7 Migórski, Stanisław 6 Bianchi, Massimo 6 Lüst, Dieter 6 Micu, Sorin 6 Osses, Axel 6 Partouche, Hervé 6 Raymond, Jean-Pierre 6 Wang, Gengsheng 5 Destuynder, Philippe 5 Doubova, Anna 5 Du, Runmei 5 Haack, Michael 5 Matei, Andaluzia Cristina 5 Stieberger, Stephan 5 Takahashi, Takéo 5 Xiao, Yibin 4 Araruna, Fágner Dias 4 Badra, Mehdi 4 Balachandran, Krishnan 4 Beauchard, Karine 4 Bourgeois, Laurent 4 Cámara, Pablo G. 4 Carreño, Nicolás 4 Diaz Diaz, Jesus Ildefonso 4 Gueye, Mamadou 4 Hernández-Santamaría, Víctor 4 Horsin, Thierry 4 Kang, Jin U 4 Liu, Xu 4 Liu, Zhenhai 4 Mahmudov, Nazim Idrisoglu 4 Ortega, Jaime H. 4 Pérez-García, Rosario 4 Tao, Qiang 4 Tucsnak, Marius 4 Vexler, Boris 3 Angelantonj, Carlo 3 Antoniadis, Ignatios 3 Berg, Marcus 3 Boulakia, Muriel 3 Capatina, Anca 3 Caubet, Fabien 3 Couderc, Maxime 3 Dardé, Jérémi 3 Dudas, Emilian 3 Frau, Marialuisa 3 Khapalov, Alexander Yuri 3 Kiritsis, Elias B. 3 Lei, Peidong 3 Lerda, Alberto 3 Lévy, Guillaume 3 Lin, Ping 3 Morales, Jose Francisco 3 Münch, Arnaud 3 Nakoulima, Ousseynou 3 Pączka, Dariusz 3 Phung, Kim Dang 3 Reffert, Susanne 3 Schlotterer, Oliver 3 Simpore, Yacouba 3 Sukavanam, Nagarajan 3 Wang, Chunpeng 3 Wang, Jenn-Nan 3 Yamamoto, Masahiro 2 Alabau-Boussouira, Fatiha 2 Barbu, Viorel 2 Benabdallah, Assia 2 Berasaluce-González, Mikel 2 Biccari, Umberto 2 Billó, Marco 2 Bodart, Olivier 2 Boyer, Franck 2 Burman, Erik 2 Calsavara, Bianca Morelli Rodolfo 2 Cannarsa, Piermarco 2 Cao, Liqun 2 Chaves-Silva, Felipe Wallison 2 Condeescu, Cezar 2 da Silva, Luciano Cipriano 2 Dáger, René 2 Dambrine, Marc 2 de Sousa, Ivaldo Tributino 2 Donato, Patrizia 2 Duan, Yueliang 2 Fernández, Luis Alberto 2 Florakis, Ioannis G. 2 Gamorski, Piotr 2 Gao, Peng ...and 353 more Authors
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#### Cited in 104 Serials

 35 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 27 Journal of High Energy Physics 25 Nuclear Physics. B 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Journal of Optimization Theory and Applications 12 Journal of Mathematical Analysis and Applications 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 SIAM Journal on Control and Optimization 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Journal of Differential Equations 9 Systems & Control Letters 7 Applicable Analysis 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Applied Mathematics and Computation 6 Applied Mathematics Letters 6 MCSS. Mathematics of Control, Signals, and Systems 6 Journal of Dynamical and Control Systems 6 Mathematical Control and Related Fields 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 Applied Mathematics and Optimization 5 Communications in Partial Differential Equations 5 Nonlinear Analysis. Real World Applications 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Modern Physics A 3 Journal of the Franklin Institute 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Fortschritte der Physik 3 Journal of Functional Analysis 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Journal of Elasticity 3 Nuclear Physics, B, Proceedings Supplements 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Evolution Equations and Control Theory 2 Inverse Problems 2 Mathematics of Computation 2 Journal of Computational and Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Optimization 2 Mathematics and Mechanics of Solids 2 Abstract and Applied Analysis 2 Journal of Mathematical Fluid Mechanics 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 International Journal of Applied Mathematics and Computer Science 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Methods in Applied Mathematics 2 Communications on Pure and Applied Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Nonlinear Evolution Equations and Applications 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Anais da Academia Brasileira de Ciências 1 Automatica 1 Commentationes Mathematicae Universitatis Carolinae 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Journal of Global Optimization 1 Applied Mathematical Modelling 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Annales Mathématiques Blaise Pascal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 European Journal of Control 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Differential Equations 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 Portugaliae Mathematica. Nova Série 1 Stochastics and Dynamics 1 Journal of Applied Mathematics and Computing 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Science in China. Series F 1 Boundary Value Problems 1 Inverse Problems and Imaging 1 European Journal of Pure and Applied Mathematics 1 Nonlinear Analysis. Hybrid Systems 1 Advances in High Energy Physics 1 International Journal of Differential Equations 1 Advances in Pure and Applied Mathematics 1 Afrika Matematika ...and 4 more Serials
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#### Cited in 32 Fields

 235 Partial differential equations (35-XX) 212 Systems theory; control (93-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 60 Quantum theory (81-XX) 49 Fluid mechanics (76-XX) 47 Mechanics of deformable solids (74-XX) 29 Relativity and gravitational theory (83-XX) 20 Numerical analysis (65-XX) 15 Operator theory (47-XX) 13 Algebraic geometry (14-XX) 10 Ordinary differential equations (34-XX) 8 Biology and other natural sciences (92-XX) 6 Operations research, mathematical programming (90-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 4 Manifolds and cell complexes (57-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)