Publications HAL

2022/12 – CONCENTRATION AND NON-CONCENTRATION OF EIGENFUNCTIONS OF SECOND-ORDER ELLIPTIC OPERATORS IN LAYERED MEDIA

2020/08 – Concentration et confinement des fonctions propres dans un ouvert borné – version 2 *

2020/01 Annales Henri Lebesgue – A block moment method to handle spectral condensation phenomenon in parabolic control problems

2019/11 – Concentration et confinement des fonctions propres dans un ouvert borné

2018/01 Journal de Mathématiques Pures et Appliquées – Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems

2016/01 Journal of Mathematical Analysis and Applications – New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence

2014/11 Cancer Research – Mathematical modeling of tumor growth and metastatic spreading: validation in tumor-bearing mice.

2014/10 Journal of Functional Analysis – Minimal time for the null controllability of parabolic systems: The effect of the condensation index of complex sequences

2014/07 SIAM Journal on Control and Optimization – Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the $N$-dimensional boundary null-controllability in cylindrical domains

2014/05 Comptes Rendus. Mathématique – Minimal time of controllability of two parabolic equations with disjoint control and coupling domains

2014/03 Mathematical Control and Related Fields – Controllability to trajectories for some parabolic systems of three and two equations by one control force

2014/01 – A Mathematical Model for Growing Metastases on Oncologists’s Service

2013/10 Comptes Rendus. Mathématique – A new relation between the condensation index of complex sequences and the null controllability of parabolic systems

2013/01 Communications in Partial Differential Equations – Carleman Estimates for Some Non-Smooth Anisotropic Media

2012/11 – Quantitative Analysis of the Tumor/Metastasis System and its Optimal Therapeutic Control

2012/06 – Carleman estimates for some non smooth anisotropic media

2012/01 Mathematical Model Natural Phenomenon – Modeling the impact of anticancer agents on metastatic spreading

2011/12 Journal de Mathématiques Pures et Appliquées – The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials

2011/09 Mathematical Control and Related Fields – Recent results on the controllability of linear coupled parabolic problems: A survey

2011/08 Oncologie – Modélisation du risque d’évolution métastatique chez les patients supposés avoir une maladie localisée

2011/01 Journal of Functional Analysis – Carleman estimates for stratified media

2010/01 Comptes Rendus. Mathématique – A new Carleman inequality for parabolic systems and applications

2009/03 Mathematical Biosciences – Mathematical and numerical analysis for a model of growing metastatic tumors

2009/01 Journal of Evolution Equations – A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems

2008/09 – Inverse problem for a parabolic system with two components by measurements of one component.

2008/03 – A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems

2007/01 Comptes rendus de l’Académie des sciences. Série I, Mathématique – Controllability for a class of reaction-diffusion systems : the generalized Kalman’s condition

2007/01 Comptes rendus hebdomadaires des séances de l’Académie des sciences – On the controllability of linear parabolic equations with an arbitrary control location for stratified media

2007/01 Journal of Mathematical Analysis and Applications – Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem

2007/01 SIAM Journal on Control and Optimization – Stability of discontinuous diffusion coefficients and initial conditions in an inverse problem for the heat equation

2006/01 Comptes Rendus Mécanique – Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications

2006/01 Journal of Mathematical Analysis and Applications – Null-controllability of some reaction–diffusion systems with one control force

2005/01 ESAIM: Control, Optimisation and Calculus of Variations – NULL-CONTROLLABILITY OF SOME SYSTEMS OF PARABOLIC TYPE BY ONE CONTROL FORCE

2003/01 SIAM Journal on Control and Optimization – CONTROLLABILITY TO THE TRAJECTORIES OF PHASE-FIELD MODELS BY ONE CONTROL FORCE