47 citations · 426 across the 46 of their papers we have counts for
Showing 2022 · math.APShow all
2 papers · 2 filters
math.AP2022
Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes
N. Dugandžija, A. Michelangeli, I. Vojnović
For a semi-linear Schrödinger equation of Hartree type in three spatial dimensions, various approximations of singular, point-like perturbations are considered, in the form of pote…
math.AP2022★ 1 cited
Standing waves and global well-posedness for the 2d Hartree equation with a point interaction
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
We study a class of two-dimensional non-linear Schrödinger equations with point-like singular perturbation and Hartree non-linearity. The point-like singular perturbation of the fr…