47 citations · 426 across the 46 of their papers we have counts for
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Scattering for Short-Range Mass-Subcritical Choquard Equations
Alessandro Michelangeli, Mirko Tarulli
We study scattering for the defocusing inhomogeneous generalized Choquard equation with data in the conformal energy space. In the full short-range mass-subcritical regime, a key e…
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…
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…
Heat equation with inverse-square potential of bridging type across two half-lines
Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli
The heat equation with inverse square potential on both half-lines of is discussed in the presence of \emph{bridging} boundary conditions at the origin. The problem is…
On real resonances for three-dimensional Schrödinger operators with point interactions
Alessandro Michelangeli, Raffaele Scandone
We prove the absence of positive real resonances for Schrödinger operators with finitely many point interactions in and we discuss such a property from the perspecti…
Global, finite energy, weak solutions for the NLS with rough, time-dependent magnetic potentials
Paolo Antonelli, Alessandro Michelangeli, Raffaele Scandone
We prove the existence of weak solutions in the space of energy for a class of non-linear Schroedinger equations in the presence of a external rough magnetic potential. Under our a…