An ODE approach to the equation ... U + Ku ... = 0, in Rn.
An optimal estimate for the singular set of a harmonic map in the free boundary.
An Optimal Order Multigrid Method for Biharmonic, C1 Finite Element Equations.
An optimization problem in heat conduction
An Orlicz-Sobolev space setting for quasilinear elliptic problems.
An overdetermined elliptic problem in a domain with countably rectifiable boundary
We examine an elliptic equation in a domain Ω whose boundary ∂Ω is countably (m-1)-rectifiable. We also assume that ∂Ω satisfies a geometrical condition. We are interested in an overdetermined boundary value problem (examined by Serrin [Arch. Ration. Mech. Anal. 43 (1971)] for classical solutions on domains with smooth boundary). We show that existence of a solution of this problem implies that Ω is an m-dimensional Euclidean ball.
An upper bound for positive solutions of the equation .
An upper bound for the local time-decay of scattering solutions for the Schrödinger equation with Coulomb potential
An upwind finite element method for singularly perturbed elliptic problems and local estimates in the -norm
Analyse limite d'équations variationnelles dans un domaine contenant une grille
Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme
Analyse semi-classique de l'effet tunnel
Analyse semi-classique de l'opérateur de Schrödinger sur la sphère
Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
Analyse sur les boules d' un opérateur sous-elliptique.
Analysis of a Damped Nonlinear Multilevel Method.
Analysis of a non-standard mixed finite element method with applications to superconvergence
We show that a non-standard mixed finite element method proposed by Barrios and Gatica in 2007, is a higher order perturbation of the least-squares mixed finite element method. Therefore, it is also superconvergent whenever the least-squares mixed finite element method is superconvergent. Superconvergence of the latter was earlier investigated by Brandts, Chen and Yang between 2004 and 2006. Since the new method leads to a non-symmetric system matrix, its application seems however more expensive...
Analysis of boundary bubbling solutions for an anisotropic Emden–Fowler equation
Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
Compatible schemes localize degrees of freedom according to the physical nature of the underlying fields and operate a clear distinction between topological laws and closure relations. For elliptic problems, the cornerstone in the scheme design is the discrete Hodge operator linking gradients to fluxes by means of a dual mesh, while a structure-preserving discretization is employed for the gradient and divergence operators. The discrete Hodge operator is sparse, symmetric positive definite and is...
Analysis of Finite Element Methods for Second Order Boundary Value Problems Using Mesh Dependent Norms.