24 citations · 24 across the 2 of their papers we have counts for
4 papers
Orbital stability of solitary waves for the generalized Choquard model
Vladimir Georgiev, Mirko Tarulli, George Venkov
We consider the generalized Choquard equation describing trapped electron gas in 3 dimensional case. The study of orbital stability of the energy minimizers (known as ground states…
Decay and Scattering in energy space for the solution of weakly coupled Schrödinger-Choquard and Hartree-Fock equations
Mirko Tarulli, George Venkov
We prove decay with respect to some Lebesgue norms for a class of Schrödinger equations with non-local nonlinearities by showing new Morawetz inequalities and estimates. As a bypro…
Local energy decay for wave equation in the absence of resonance at zero energy in 3D
Vladimir Georgiev, Mirko Tarulli
In this paper we study spectral properties associated to Schrodinger operator with potential that is an exponential decaying function. As applications we prove local energy decay f…
On asymptotic stability of standing waves of discrete Schrödinger equation in
Scipio Cuccagna, Mirko Tarulli
We prove an analogue of a classical asymptotic stability result of standing waves of the Schrödinger equation originating in work by Soffer and Weinstein. Specifically, our result…