Some time-dependent Hartree equations
Spectral and scattering theory in deformed optical wave guides.
Spectres et groupes cristallographiques. II : domaines sphériques
Dans cet article, nous donnons une description des spectres du laplacien dans certains domaines sphériques. Les représentations des groupes de Coxeter cristallographiques y jouent un rôle fondamental.
Stability and gradient dynamical systems.
The objective in these notes is to present an approach to dynamical systems in infinite dimensions. It does not seem reasonable to make a comparison of all of the orbits of the dynamics of two systems on non locally compact infinite dimensional spaces. Therefore, we choose to compare them on the set of globally defined bounded solutions. Fundamental problems are posed and several important results are stated when this set is compact. We then give results on the dynamical system which will ensure...
Stabilization of a layered piezoelectric 3-D body by boundary dissipation
We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary control...
Stark hamiltonians with periodic potentials
Steady-State Wave Propagation in Simple and Compound.
Störungstheoretische Regularitätsuntersuchungen.
Sur l'équation différentielle aréolaire linéaire aux coefficients “ constants" l'équation aréolaire d'Euler
Sur un problème à frontière libre de la physique des plasmas
Ce papier porte sur l’étude mathématique d’une équation du type de Grad-Mercier qui décrit, dans certaines circonstances, l’équilibre d’un plasma confiné [H. Grad, P.N. Hu et D.C. Stevens, Proc. Nat. Acad. Sci. USA, 72,n10 (1975), 3789–3793, C. Mercier, Publication of Euratom, CEA, Luxembourg (1974), C. Mercier, Communications personnelles à R. Temam et aux auteurs]. Il s’agit de trouver une fonction “régulière” solution du systèmeoù est un ouvert borné régulier de , etL’opérateur non linéaire...
Sur une nouvelle expression de la solution générale des équations d'Einstein avec champ de Maxwell non singulier, aligné, sans source et avec constante cosmologique, en type D
The boundary value problem for polyanalytic function in multiply-connected region
The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge
The Cauchy problem for the nonlinear Schrödinger Equation in H1.
The Dirac Equation with an Anomalous Magnetic Moment.
The Dirchlet Problem for a Complex Monge-Ampère Equation.
The eigenvalue problem and Jacobean-like methods for its solution
The elliptic problems in a family of planar open sets
We propose, on a model case, a new approach to classical results obtained by V. A. Kondrat'ev (1967), P. Grisvard (1972), (1985), H. Blum and R. Rannacher (1980), V. G. Maz'ya (1980), (1984), (1992), S. Nicaise (1994a), (1994b), (1994c), M. Dauge (1988), (1990), (1993a), (1993b), A. Tami (2016), and others, describing the singularities of solutions of an elliptic problem on a polygonal domain of the plane that may appear near a corner. It provides a more precise description of how the solutions...
The evolution Darcy-Boussinesq system (a weak maximum principle and the uniqueness)
The Fundamental Solution for the Kohn-Laplacian ....b on the Sphere in Cn.