24 citations · 24 across the 3 of their papers we have counts for
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Decay in energy space for the solution of fourth-order Hartree-Fock equations with general non-local interactions
Mirko Tarulli, George Venkov
We prove the decay in the energy space for the solution to the defocusing biharmonic Hartree-Fock equations with mass-supercritical and energy-subcritical Choquard-type nonlinearit…
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…
-scattering for systems of weakly coupled fourth-order NLS equations in low space dimensions
Mirko Tarulli
We prove large-data scattering and existence of wave operators in the energy space for the systems of defocusing fourth-order Schrödinger equations with mass-supercritical and…
Existence and uniqueness of ground states for - Choquard model in 3D
Vladimir Georgiev, Mirko Tarulli, George Venkov
We study the -Choquard equation in 3-dimensional case and establish existence and uniqueness of ground states for the corresponding Weinstein functional. For proving the uniquen…
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…