Publications

F. Alabau-Boussouira , Matthieu Léautaud Indirect stabilization of locally coupled wave-type systems. Accepté pour publication dans ESAIM COCV (2011).

F. Alabau-Boussouira Strong lower energy estimates for nonlinearly damped Timoshenko beams and Petrowsky equations. Accepté pour publication dans Nonlinear Differential Equations and Applications (2011).

F. Alabau-Boussouira, P. Cannarsa   A constructive proof of Gibson's stability theorem. Accepté pour publication dans Discret and Continuous Dynamical Systems S (2011).

F. Alabau-Boussouira , Matthieu Léautaud Indirect controllability of locally coupled systems under geometric conditions. C. R. Acad. Sci. Paris, Sér. I 349, (2011) 395--400.

F. Alabau-Boussouira, K. Ammari   Sharp energy estimates for nonlinearly locally damped PDE's via observability for the associated undamped system. J. of Functional Analysis 260, 2424--2450 (2011)

F. Alabau-Boussouira, J. E. Munoz Rivera, D. S. Almeida Junior   Stability to weak dissipative systems. J. of Mathematical Analysis and Appl. 374, 4812--498 (2011)

F. Alabau-Boussouira   New trends towards lower energy estimates and optimality for nonlinearly damped vibrating systems. J. of Differential Equations 249, 1145--1178 (2010)

F. Alabau-Boussouira   A unified approach via convexity for optimal energy decay rates of finite and infinite dimensional vibrating damped systems with applications to semi-discretized vibrating damped systems. J. of Differential Equations 248, 1473--1517 (2010)

F. Alabau-Boussouira, P. Cannarsa   A new method for proving sharp energy decay rates for memory-dissipative evolution equations for a quasi-optimal class of kernels. Comptes Rendus Mathématique, C. R. Acad. Sci. Paris, Sér. I 347, 867--872 (2009)

F. Alabau-Boussouira, J. Prüss and R. Zacher Exponential and polynomial stability of a wave equation for boundary memory damping with singular kernels. Comptes Rendus Mathématique, C. R. Acad. Sci. Paris, Sér. I 347, 277--282 (2009)

F. Alabau-Boussouira, P. Cannarsa Control of partial differential des equations.  Springer Encyclopedia of Complexity and Systems Science, Springer New-York, 1485--1509 (sur commande) (2009)

F. Alabau-Boussouira Asymptotic stability of wave equations with memory and frictional boundary dampings. Applicationes Mathematicae
35, pp. 247--258 (2008)

F. Alabau-Boussouira, P. Cannarsa, D. Sforza  Decay estimates for second order evolution equations with memory. J. of Functional Analysis 254, no 5, 1342--1372 (2008)

F. Alabau-Boussouira Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control. Nonlinear Differential Equations and Appl. 14, no. 5-6, 643--669 (2007)

F. Alabau-Boussouira, P. Cannarsa, G. Fragnelli  Carleman estimates for degenerate parabolic operators with applications to null controllability. J. Evol. Equ. 6, no. 2, 161--204 (2006)

F. Alabau-Boussouira Piecewise multiplier method and nonlinear integral inequalities for Petrowsky equations with nonlinear dissipation. J. Evol. Equ. 6, no. 1, 95--112 (2006)

F. Alabau-Boussouira Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems. Appl. Math. and Optimization, 51, no. 1, 61--105 (2005)

F. Alabau-Boussouira Une formule générale pour le taux de décroissance des systèmes dissipatifs non linéaires. C. R. Acad. Sci. Paris Sér. I Math, 338, 35--40 (2004)

F. Alabau-Boussouira A two-level energy method for indirect boundary observability and controllability of weakly coupled hyperbolic systems. Siam J. on Control and Optimization, 42, no. 3, 871--906 (2003)

F. Alabau Indirect boundary stabilization of weakly coupled systems. Siam J. on Control and Optimization, 41, no. 2, 511--541 (2002)

F. Alabau, P. Cannarsa, V. Komornik Indirect internal damping of coupled systems. J. of Evolution Equations, 2, 127--150 (2002)

F. Alabau Observabilité et contrôlabilité frontière indirecte de deux équations des ondes couplées. C. R. Acad. Sci. Paris Sér. I Math, 333, 645--650 (2001)

F. Alabau Stabilisation frontière indirecte de systèmes faiblement couplés. C. R. Acad. Sci. Paris Sér. I Math, 328, 1015--1020 (1999)

F. Alabau, A. Jabir, M. Moussaoui  An asymptotic analysis of a unipolar junction model. Applicable Analysis, 72, 127--153 (1999)

F. Alabau, V. Komornik Boundary observability, controllability and stabilization  of linear elastodynamic systems. Siam J. on Control and Optimization, 37, no. 2, 521--542 (1998)

F. Alabau On the existence of multiple steady-state solutions in the theory of electrodiffusion}. Part I: the nonelectroneutral case. Part II: a constructive method for the electroneutral case. Trans. of the A.M.S., 350, no. 12, 4709--4756 (1998)

F. Alabau, K. Hamdache, Y. J. Peng Analyse asymptotique du système de Vlasov-Poisson instationnaire dans le cas d'une diode plane. Asymptotic Analysis, 16, no. 1, 25--48 (1998)

F. Alabau, M. Moussaoui Asymptotic estimates for the multi-dimensional electro-diffusion equations. Math. Models Methods Appl. Sci. 8, no. 3, 469--484 (1998)

F. Alabau, V. Komornik Observabilité, contrôlabilité et stabilisation frontière du système d'élasticité linéaire. C. R. Acad. Sci. Paris Sér. I Math., 324, 519--524 (1997)

F. Alabau Uniqueness  results for the steady-state electrodiffusion equations in case of monotonic potentials and multiple junctions. Nonlinear Anal. 29, no. 8, 849--887 (1997)

F. Alabau Structural properties of the one dimensional drift-diffusion models for semiconductors. Trans. of the A. M. S., 348, 823--871 (1996)

F. Alabau New uniqueness theorems for the one dimensional drift-diffusion semiconductor device equations. Siam J. on Math. Anal., 26, 715--737 (1995)

F. Alabau  A uniqueness theorem for reverse biased diodes. A pplicable Anal., 52, 261--276 (1994)

F. Alabau, M. Moussaoui Analyse par perturbations singulières de semiconducteurs multi-dimensionnels. C. R. Acad. Sci. Paris Sér. I Math., 319, 345--349 (1994)

F. Alabau Etude des modèles de dérive-diffusion à courant donné et àpotentiel donné dans le cas de semi-conducteurs mono-dimensionnels. C. R. Acad. Sci. Paris Sér. I Math., 316, 885--890 (1993)

F. Alabau, A. Lunardi Behaviour near the travelling wave solution of a free boundary system in combustion theory. Dynamic Systems and Applications, 1, 391--418 (1992)

F. Alabau Comportement de la courbe caractéristique potentiel appliqué-courant d'une diode en polarisation inverse et directe. C. R. Acad. Sci. Paris Sér. I Math.,
314, 881--886 (1992)

F. Alabau A method for proving uniqueness theorems for the stationary semiconductor device and electrochemistry equations. Nonlinear Anal., 18, 861--872 (1992)

F. Alabau Uniform asymptotic error estimates for semiconductor device and electrochemistry equations. Nonlinear Anal., 14, 123--139 (1990)

F. Alabau Résultats d'unicité pour une classe d'équations stationnaires en physique des semi-conducteurs et des membranes biologiques. C. R. Acad. Sci. Paris Sér. I Math., 311, 589--592 (1990)