10 citations · 10 across the 2 of their papers we have counts for
3 papers
math.AP2016
Hardy inequality and fractional Leibnitz rule for perturbed Hamiltonians on the line
Vladimir Georgiev, Anna Rita Giammetta
We consider the following perturbed Hamiltonian on the real line. The potential is a real - valued function of short range type. We study…
math.AP2016
On homogeneous Besov spaces for Hamiltonians without zero resonance
Vladimir Georgiev, Anna Rita Giammetta
We consider 1-D Laplace operator with short range potential V(x), such that We study the equivalence of classical homogeneous Besov type spa…
math.AP2014★ 10 cited
Fractional Schrödinger-Poisson-Slater system in one dimension
Anna Rita Giammetta
In this paper we study local and global well-posedness of the following Cauchy problem: $$ \bigg \{ \begin{array}{rl} i\partial_tΨ+\frac{1}{2}Δ_{x}Ψ= A_0Ψ+α|Ψ|^{γ-1}Ψ, & (t,x)\in\R…