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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…
math.AP2020★ 1 cited
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…