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.
The Global Cauchy Problem for the Non Linear Klein-Gordon Equation.
The global Cauchy problem for the non linear Klein-Gordon equation-II
The global Cauchy problem for the non linear Schrödinger equation revisited
The Isolated Point Singularity Problem for the Coupled Yang-Mills Equations in Higher Dimensions.
The limiting amplitude principle applied to the motion of floating bodies
The limiting equation for Neumann Laplacians on shrinking domains.
The ROTHE method for nonlinear hyperbolic problems
The semiclassical limit of quantum dynamics. II : scattering theory
The Vlasov equation with strong mangnetic field and oscillating electric field as a model for isotop resonant separation.
The wave map problem. Small data critical regularity
The paper provides a description of the wave map problem with a specific focus on the breakthrough work of T. Tao which showed that a wave map, a dynamic lorentzian analog of a harmonic map, from Minkowski space into a sphere with smooth initial data and a small critical Sobolev norm exists globally in time and remains smooth. When the dimension of the base Minkowski space is , the critical norm coincides with energy, the only manifestly conserved quantity in this (lagrangian) theory. As a consequence,...
Theoretical study and optimization of a fluid-structure interaction problem