Remarks on the relativistic self-dual Maxwell-Chern-Simons-Higgs system.
Resonances of relativistic Schrödinger operators with homogeneous electric fields
Selfgravitating systems in Newtonian theory - the Vlasov-Poisson system
We give a review of results on the initial value problem for the Vlasov--Poisson system, concentrating on the main ingredients in the proof of global existence of classical solutions.
Sharp estimates for singular transport equations
We provide estimates for a transport equation which contains singular integral operators. The form of the equation was motivated by the study of Kirchhoff–Sobolev parametrices in a Lorentzian space-time satisfying the Einstein equations. While our main application is for a specific problem in General Relativity we believe that the phenomenon which our result illustrates is of a more general interest.
Singular integrals of the time-harmonic relativistic Dirac equation on a piecewise Liapunov surface.
Smooth static solutions of the spherically symmetric Vlasov-Einstein system
Solitons on pseudo-Riemannian manifolds: Stability and motion.
Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions" [Book]
Splitting of the Dirac operator in the nonrelativistic limit
The form boundedness criterion for the relativistic Schrödinger operator
We establish necessary and sufficient conditions on the real- or complex-valued potential defined on for the relativistic Schrödinger operator to be bounded as an operator from the Sobolev space to its dual .
The global nonlinear stability of the Minkowski space
The relativistic Enskog equation near the vacuum.
Travelling wave solutions to some PDEs of mathematical physics.
Unicité et contrôle pour le système de Lamé
Dans cet article on étudie le problème de l’unicité locale pour le système de Lamé. On prouve qu’on a l’unicité de Cauchy par rapport à toute surface non caractéristique. Nous donnons également deux résultats de densité qui s’applique à la théorie du contrôle pour le système de Lamé.
Unicité et contrôle pour le système de Lamé
In this paper, we study the uniqueness problem for the Lamé system. We prove that we have the uniqueness property across any non characteristic surface. We also give two results which apply to the boundary controllability for the Lamé system.
Uniqueness of the critical mass blow up solution for the four dimensional gravitational Vlasov–Poisson system
Well posed reduced systems for the Einstein equations
We review some well posed formulations of the evolution part of the Cauchy problem of General Relativity that we have recently obtained. We include also a new first order symmetric hyperbolic system based directly on the Riemann tensor and the full Bianchi identities. It has only physical characteristics and matter sources can be included. It is completely equivalent to our other system with these properties.
Изомонодромные деформации и автомодельные решения уравнений Эйнштейна-Максвелла