Virial identity and weak dispersion for the magnetic Dirac equation (2009)
Boussaid, Nabile, D'Ancona, Piero, Fanelli, Luca
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates...
Boussaid, Nabile, Golénia, Sylvain
We establish a limiting absorption principle for some long range perturbations of the Dirac systems at threshold energies. We cover multi-center interactions with small coupling constants. The...
Boussaid, Nabile, Golénia, Sylvain
We establish a limiting absorption principle for some long range perturbations of the Dirac systems at threshold energies. We cover multi-center interactions with small coupling constants. The...
Boussaid, Nabile, Golénia, Sylvain
We establish a limiting absorption principle for some long range perturbations of the Dirac systems at threshold energies. We cover multi-center interactions with small coupling constants. The...
Virial identity and weak dispersion for the magnetic Dirac equation (2009)
Boussaid, Nabile, D'Ancona, Piero, Fanelli, Luca
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates...
Virial identity and weak dispersion for the magnetic Dirac equation (2009)
Boussaid, Nabile, D'Ancona, Piero, Fanelli, Luca
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates...
Boulton, Lyonell, Boussaid, Nabile
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dirac operator with a radially symmetric potential. The virtues of this strategy lie on the fact that...
Boulton, Lyonell, Boussaid, Nabile
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dirac operator with a radially symmetric potential. The virtues of this strategy lie on the fact that...
Boulton, Lyonell, Boussaid, Nabile
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dirac operator with a radially symmetric potential. The virtues of this strategy lie on the fact that...
Cette thèse est consacrée à l'étude de la stabilité de petits états stationnaires d'une équation d'évolution non linéaire issue de la mécanique quantique relativiste : l'équation de Dirac...
On the asymptotic stability of small nonlinear Dirac standing waves in a resonant case (2006)
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the linear Dirac operator of reference $H=D_m+V$ has only two double eigenvalues, this degeneracy is due...
On the asymptotic stability of small nonlinear Dirac standing waves in a resonant case (2006)
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the linear Dirac operator of reference $H=D_m+V$ has only two double eigenvalues and that degeneracies...
Cette thèse est consacrée à l'étude de lastabilité de petits états stationnaires d'une équation d'évolutionnon linéaire issue de la mécanique quantique relativiste :l'équation de Dirac non...
Cette thèse est consacrée à l'étude de lastabilité de petits états stationnaires d'une équation d'évolutionnon linéaire issue de la mécanique quantique relativiste :l'équation de Dirac non...
Cette thèse est consacrée à l'étude de la stabilité de petits états stationnaires d'une équation d'évolution non linéaire issue de la mécanique quantique relativiste : l'équation de Dirac...
Cette thèse est consacrée à l'étude de la stabilité de petits états stationnaires d'une équation d'évolution non linéaire issue de la mécanique quantique relativiste : l'équation de Dirac...
On the asymptotic stability of small nonlinear Dirac standing waves in a resonant case (2006)
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the linear Dirac operator of reference $H=D_m+V$ has only two double eigenvalues and that degeneracies...
On the asymptotic stability of small nonlinear Dirac standing waves in a resonant case (2006)
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the linear Dirac operator of reference $H=D_m+V$ has only two double eigenvalues and that degeneracies...
Cette thèse est consacrée à l'étude de la stabilité de petits états stationnaires d'une équation d'évolution non linéaire issue de la mécanique quantique relativiste : l'équation de Dirac...
Stable directions for small nonlinear Dirac standing waves (2005)
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates. When this linear operator has only two...
Stable directions for small nonlinear Dirac standing waves (2005)
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates. When this linear operator has only two...
Stable directions for small nonlinear Dirac standing waves (2005)
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates. When this linear operator has only two...
Stable directions for small nonlinear Dirac standing waves (2005)
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates. When this linear operator has only two...
Stable directions for small nonlinear Dirac standing waves (2005)
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates. When this linear operator has only two...
Stable directions for small nonlinear Dirac standing waves (2005)
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates. When this linear operator has only two...