Compute Distance To:
 Documents Indexed: 32 Publications since 2007 Co-Authors: 17 Co-Authors with 29 Joint Publications 172 Co-Co-Authors
all top 5

### Co-Authors

 3 single-authored 13 El Badia, Abdellatif 6 Ibrahim, Hassan 5 Abdelaziz, Batoul 5 Monneau, Régis 4 Jazar, Mustapha 3 Boudjerada, Rachida 3 Moustafa, Hayat 3 Oussaily, Aya 3 Rizik, Vivian 1 Al Zohbi, Maryam 1 Bacha, Rekia Meriem Ahmed 1 Batoul, Abdelaziz 1 Cannone, Marco 1 Forcadel, Nicolas 1 Mottelet, Stéphane 1 Moulay, Mohamed Said 1 Ribaud, Francis
all top 5

### Serials

 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Applicable Analysis 2 Inverse Problems 2 Journal of Hyperbolic Differential Equations 2 Inverse Problems and Imaging 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
all top 5

### Fields

 30 Partial differential equations (35-XX) 15 Mechanics of deformable solids (74-XX) 10 Numerical analysis (65-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

24 Publications have been cited 150 times in 63 Documents Cited by Year
A convergent scheme for a non-local coupled system modelling dislocations densities dynamics. Zbl 1133.35097
2008
Direct algorithm for multipolar sources reconstruction. Zbl 1325.65149
2015
Well-posedness theory for a nonconservative Burgers-type system arising in dislocation dynamics. Zbl 1149.35056
2007
Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. Zbl 1193.35218
Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis
2010
Dislocation dynamics: from microscopic models to macroscopic crystal plasticity. Zbl 1178.35047
El Hajj, A.; Ibrahim, H.; Monneau, R.
2009
Identification of dislocations in materials from boundary measurements. Zbl 1267.35252
El Badia, A.; El Hajj, A.
2013
Direct algorithms for solving some inverse source problems in 2D elliptic equations. Zbl 1328.35295
2015
Global continuous solutions for diagonal hyperbolic systems with large and monotone data. Zbl 1198.35143
2010
Reconstruction of extended sources with small supports in the elliptic equation $$\Delta u+\mu u=F$$ from a single Cauchy data. (Reconstruction de sources dont le support est de petite taille, dans l’équation elliptique $$\Delta u+\mu u=F$$, à partir d’une seule donnée de Cauchy.) Zbl 1282.35405
2013
Stability estimates for an inverse source problem of Helmholtz’s equation from single Cauchy data at a fixed frequency. Zbl 1292.65114
2013
Global existence results for eikonal equation with $$BV$$ initial data. Zbl 1327.35066
2015
Uniqueness results for diagonal hyperbolic systems with large and monotone data. Zbl 1284.35007
2013
Hölder stability estimates for some inverse pointwise source problems. Zbl 1271.35029
2012
Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities. Zbl 1184.35198
El Hajj, A.
2010
Global $$BV$$ solution for a non-local coupled system modeling the dynamics of dislocation densities. Zbl 1378.35265
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian
2018
Logarithmic stability estimates for an inverse source problem from interior measurements. Zbl 1390.35414
El Badia, Abdellatif; El Hajj, A.; Jazar, M.; Moustafa, H.
2018
Lipschitz stability estimates for an inverse source problem in an elliptic equation from interior measurements. Zbl 1348.35316
El Badia, A.; El Hajj, A.; Jazar, M.; Moustafa, H.
2016
Existence result for a one-dimensional eikonal equation. (Résultat d’existence pour l’équation eikonale unidimensionnelle.) Zbl 1310.35072
2015
Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities. Zbl 1462.35332
El Hajj, A.; Oussaily, A.
2021
$$BV$$ solution for a non-linear Hamilton-Jacobi system. Zbl 1465.35112
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian
2021
Global solution for a non-local eikonal equation modelling dislocation dynamics. Zbl 1383.35050
El Hajj, A.
2018
Some remarks on the small electromagnetic inhomogeneities reconstruction problem. Zbl 1377.49038
2017
Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem. Zbl 1418.35379
2019
Global existence to a diagonal hyperbolic system for any BV initial data. Zbl 1467.35213
Al Zohbi, Maryam; El Hajj, Ahmad; Jazar, Mustapha
2021
Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities. Zbl 1462.35332
El Hajj, A.; Oussaily, A.
2021
$$BV$$ solution for a non-linear Hamilton-Jacobi system. Zbl 1465.35112
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian
2021
Global existence to a diagonal hyperbolic system for any BV initial data. Zbl 1467.35213
Al Zohbi, Maryam; El Hajj, Ahmad; Jazar, Mustapha
2021
Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem. Zbl 1418.35379
2019
Global $$BV$$ solution for a non-local coupled system modeling the dynamics of dislocation densities. Zbl 1378.35265
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian
2018
Logarithmic stability estimates for an inverse source problem from interior measurements. Zbl 1390.35414
El Badia, Abdellatif; El Hajj, A.; Jazar, M.; Moustafa, H.
2018
Global solution for a non-local eikonal equation modelling dislocation dynamics. Zbl 1383.35050
El Hajj, A.
2018
Some remarks on the small electromagnetic inhomogeneities reconstruction problem. Zbl 1377.49038
2017
Lipschitz stability estimates for an inverse source problem in an elliptic equation from interior measurements. Zbl 1348.35316
El Badia, A.; El Hajj, A.; Jazar, M.; Moustafa, H.
2016
Direct algorithm for multipolar sources reconstruction. Zbl 1325.65149
2015
Direct algorithms for solving some inverse source problems in 2D elliptic equations. Zbl 1328.35295
2015
Global existence results for eikonal equation with $$BV$$ initial data. Zbl 1327.35066
2015
Existence result for a one-dimensional eikonal equation. (Résultat d’existence pour l’équation eikonale unidimensionnelle.) Zbl 1310.35072
2015
Identification of dislocations in materials from boundary measurements. Zbl 1267.35252
El Badia, A.; El Hajj, A.
2013
Reconstruction of extended sources with small supports in the elliptic equation $$\Delta u+\mu u=F$$ from a single Cauchy data. (Reconstruction de sources dont le support est de petite taille, dans l’équation elliptique $$\Delta u+\mu u=F$$, à partir d’une seule donnée de Cauchy.) Zbl 1282.35405
2013
Stability estimates for an inverse source problem of Helmholtz’s equation from single Cauchy data at a fixed frequency. Zbl 1292.65114
2013
Uniqueness results for diagonal hyperbolic systems with large and monotone data. Zbl 1284.35007
2013
Hölder stability estimates for some inverse pointwise source problems. Zbl 1271.35029
2012
Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. Zbl 1193.35218
Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis
2010
Global continuous solutions for diagonal hyperbolic systems with large and monotone data. Zbl 1198.35143
2010
Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities. Zbl 1184.35198
El Hajj, A.
2010
Dislocation dynamics: from microscopic models to macroscopic crystal plasticity. Zbl 1178.35047
El Hajj, A.; Ibrahim, H.; Monneau, R.
2009
A convergent scheme for a non-local coupled system modelling dislocations densities dynamics. Zbl 1133.35097
2008
Well-posedness theory for a nonconservative Burgers-type system arising in dislocation dynamics. Zbl 1149.35056
2007
all top 5

### Cited by 91 Authors

 4 Archive for Rational Mechanics and Analysis 4 Inverse Problems 4 Inverse Problems and Imaging 3 Applicable Analysis 3 Journal of Differential Equations 3 Journal of Hyperbolic Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Nonlinear Science 2 Journal of Inverse and Ill-Posed Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Inverse Problems in Science and Engineering 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Inequalities and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 International Journal of Applied and Computational Mathematics 1 Minimax Theory and its Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Elliptic and Parabolic Equations