Vitali Vougalter: Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system
Tid: On 2013-10-30 kl 13.15
Plats: Seminar Room 3721, KTH
Medverkande: Vitali Vougalter, Univ. of Cape Town,
Abstract. We study the stationary states of the
semi-relativistic Schroedinger-Poisson system
in the repulsive (plasma physics) Coulomb case. In particular, we
establish the existence and the nonlinear stability of a wide class of
stationary states by means of the energy-Casimir method. We
generalize our global well-posedness result for the semi-relativistic
Schroedinger-Poisson system
to spaces with higher regularity.