Deformation from symmetry for Schrödinger equations of higher order on unbounded domains.
Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators.
Déformations différentielles à coefficients constants et produits de Moyal généralisés
Déformations isomonodromiques des singularités régulières
Deforming convex hypersurfaces by the square root of the scalar curvature.
Deforming Hypersurfaces of the Sphere by Their Mean Curvature.
Degenerate differential operators with parameters.
Degenerate diffusive SEIR model with logistic population control.
Degenerate Eikonal equations with discontinuous refraction index
We study the Dirichlet boundary value problem for eikonal type equations of ray light propagation in an inhomogeneous medium with discontinuous refraction index. We prove a comparison principle that allows us to obtain existence and uniqueness of a continuous viscosity solution when the Lie algebra generated by the coefficients satisfies a Hörmander type condition. We require the refraction index to be piecewise continuous across Lipschitz hypersurfaces. The results characterize the value...
Degenerate elliptic equation involving a subcritical Sobolev exponent.
Degenerate elliptic equations with measure data and nonlinear potentials
Degenerate Elliptic Operators Diagonal Systems and Variational Integrals.
Degenerate stationary problems with homogeneous boundary conditions.
Degenerate stochastic differential equations arising from catalytic branching networks.
Degenerate triply nonlinear problems with nonhomogeneous boundary conditions
The paper addresses the existence and uniqueness of entropy solutions for the degenerate triply nonlinear problem: b(v)t − div α(v, ▽g(v)) = f on Q:= (0, T) × Ω with the initial condition b(v(0, ·)) = b(v 0) on Ω and the nonhomogeneous boundary condition “v = u” on some part of the boundary (0, T) × ∂Ω”. The function g is continuous locally Lipschitz continuous and has a flat region [A 1, A 2,] with A 1 ≤ 0 ≤ A 2 so that the problem is of parabolic-hyperbolic type.
Degenerate two-phase incompressible flow problems III: Perturbation analysis and numerical experiments.
Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes
This paper addresses analytical investigations of degenerating PDE systems for phase separation and damage processes considered on nonsmooth time-dependent domains with mixed boundary conditions for the displacement field. The evolution of the system is described by a degenerating Cahn-Hilliard equation for the concentration, a doubly nonlinear differential inclusion for the damage variable and a quasi-static balance equation for the displacement field. The analysis is performed on a time-dependent...
Degeneration of effective diffusion in the presence of periodic potential
Dégénérescence du comportement linéaire pour l’équation des ondes semi-linéaire focalisante critique
C. Kenig et F. Merle ont montré que les solutions de l’équation des ondes focalisante quintique sur l’espace euclidien de dimension 3 ont un comportement linéaire en-dessous d’un certain seuil d’énergie. Ce comportement linéaire est caractérisé par la finitude de la norme dans les variables espace-temps. Dans cet exposé, je donnerai une estimation précise de cette norme globale pour les solutions dont l’énergie est proche de l’énergie seuil.
Degree theory for VMO maps on metric spaces
We construct a degree theory for Vanishing Mean Oscillation functions in metric spaces, following some ideas of Brezis & Nirenberg. The underlying sets of our metric spaces are bounded open subsets of and their boundaries. Then, we apply our results in order to analyze the surjectivity properties of the -harmonic extensions of VMO vector-valued functions. The operators we are dealing with are second order linear differential operators sum of squares of vector fields satisfying the hypoellipticity...