Schauder estimates for steady compressible Navier-Stokes equations in bounded domains
Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in
We study existence, uniqueness, and smoothing properties of the solutions to a class of linear second order elliptic and parabolic differential equations with unbounded coefficients in . The main results are global Schauder estimates, which hold in spite of the unboundedness of the coefficients.
Schéma aux différences finies pour une équation elliptique quasilinéaire dans un domaine arbitraire
Schéma des différences finies pour un système d'équations non linéaires partielles elliptiques aux dérivées mixtes et avec des conditions aux limites du type de Neumann
Schéma des différences finies pour un système d'équations paraboliques non linéaires avec dérivées mixtes
Schéma des différences finies pour une équation non linéaire partielle du type elliptique avec dérivées mixtes
Schema explicite des différences finies pour un système d'équations non linéaires du type parabolique avec des conditions aux limites non linéaires
Schiffer problem and isoparametric hypersurfaces.
The Schiffer Problem as originally stated for Euclidean spaces (and later for some symmetric spaces) is the following: Given a bounded connected open set Ω with a regular boundary and such that the complement of its closure is connected, does the existence of a solution to the Overdetermined Neumann Problem (N) imply that Ω is a ball? The same question for the Overdetermined Dirichlet Problem (D). We consider the generalization of the Schiffer problem to an arbitrary Riemannian manifold and also...
Schouten tensor equations in conformal geometry with prescribed boundary metric.
Schrödinger eigenvalue problem for the Gaussian potential
Schrödinger Equation and Oscillatory Hilbert Transforms of Second Degree.
Schrödinger equation on the Heisenberg group
Schrödinger equation spectrum and Korteweg-De Vries type invariants
Schrödinger equations in noncylindrical domains: exact controllability.
Schrödinger equations with unique positive isolated singularities.
Schrödinger operator with magnetic field in domain with corners
We present here a simplified version of results obtained with F. Alouges, M. Dauge, B. Helffer and G. Vial (cf [4, 7, 9]). We analyze the Schrödinger operator with magnetic field in an infinite sector. This study allows to determine accurate approximation of the low-lying eigenpairs of the Schrödinger operator in domains with corners. We complete this analysis with numerical experiments.
Schrödinger operators in the uniform norm
Schrödinger operators with a singular potential.
Schrödinger operators with almost periodic potentials in nonseparable Hilbert spaces
Schrödinger operators with form-bounded potentials in -spaces