Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrödinger operators.
Resonant averaging for weakly nonlinear stochastic Schrödinger equations
Résultats d’existence dans des espaces critiques pour le système de la MHD inhomogène
Nous démontrons dans cet article que le système MHD tridimensionnel à densité et viscosité variables est localement bien posé lorsque pour et la densité initiale est proche d’une constante strictement positive. Nous démontrons également un résultat d’existence et d’unicité dans l’espace de Sobolev pour sans aucune condition de petitesse sur la densité.
Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
Résultats d'existence et de non-existence pour la solution positive et bornée d'une e.d.p. elliptique non linéaire
Résultats d'existence pour certains problèmes elliptiques quasilinéaires
Results on qualitative features of periodic solutions of KdV
Reverse smoothing effects, fine asymptotics, and Harnack inequalities for fast diffusion equations.
Revisiting the method of sub- and supersolutions for nonlinear elliptic problems.
Riccati inequality and oscillation criteria for PDE with -Laplacian.
Riccati-type inequality and oscillation criteria for a half-linear PDE with damping.
Riesz transform on manifolds and heat kernel regularity
Rigorous numerics for the Cahn-Hilliard equation on the unit square.
Risultati di esistenza, regolarità e confronto per equazioni ellittiche
Risultati di regolarità, stabilità, instabilità e biforcazione per un problema a frontiera libera
Robin type conditions arising from concentrated potentials
Robust exponential attractors for singularly perturbed phase-field type equations.
Robust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshes
Singularly perturbed problems often yield solutions with strong directional features, e.g. with boundary layers. Such anisotropic solutions lend themselves to adapted, anisotropic discretizations. The quality of the corresponding numerical solution is a key issue in any computational simulation. To this end we present a new robust error estimator for a singularly perturbed reaction–diffusion problem. In contrast to conventional estimators, our proposal is suitable for anisotropic finite element...
Robust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshes
Singularly perturbed problems often yield solutions with strong directional features, e.g. with boundary layers. Such anisotropic solutions lend themselves to adapted, anisotropic discretizations. The quality of the corresponding numerical solution is a key issue in any computational simulation. To this end we present a new robust error estimator for a singularly perturbed reaction-diffusion problem. In contrast to conventional estimators, our proposal is suitable for anisotropic finite element...
Rôle des oscillations quadratiques dans des équations de Schrödinger non linéaire