Fonctions de mailles et théorie elliptique des opérateurs aux différences finies (suite)
Fonctions de mailles et théorie elliptique des opérateurs aux différences finies
On convex univalent functions. II.
Subordination and convex univalent polynomials.
On the uniqueness of ground states of non-local equations
We review our joint result with E. Lenzmann about the uniqueness of ground state solutions of non-linear equations involving the fractional Laplacian and provide an alternate uniqueness proof for an equation related to the intermediate long-wave equation.
Fractional Hardy-Sobolev-Maz'ya inequality for domains
We prove a fractional version of the Hardy-Sobolev-Maz’ya inequality for arbitrary domains and norms with p ≥ 2. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp constant in the Hardy inequality.
Perturbations singulières coercives : réduction à des perturbations régulières et applications
Sharp trace asymptotics for a class of -magnetic operators
In this paper we prove a two-term asymptotic formula for the spectral counting function for a D magnetic Schrödinger operator on a domain (with Dirichlet boundary conditions) in a semiclassical limit and with strong magnetic field. By scaling, this is equivalent to a thermodynamic limit of a D Fermi gas submitted to a constant external magnetic field. The original motivation comes from a paper by H. Kunz in which he studied, among other things, the boundary correction for the grand-canonical...
On the scattering theory of the Laplacian with a periodic boundary condition. I. Existence of wave operators.
Shuffle algorithm for two-dimensional singular systems with a Fornasini-Marchesini model
A new methodology for the design of adaptive controllers using “state-strict passivity”: Application to neural network controllers
On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering.
Free Involutions.
Simultaneous output-feedback stabilization for continuous systems in Banach spaces
A design technique for the stabilization of linear systems by one constant output-feedback controller is developed. The design equations are functions of the state and the control weighting matrices. An example of the stabilization of an aircraft at different operating points is given.
The energy of heavy atoms according to Brown and Ravenhall: the Scott correction.
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