4 papers
NLS with mass-subcritical combined nonlinearities: small mass -scattering
Jacopo Bellazzini, Luigi Forcella, Vladimir Georgiev
We prove small data scattering in the mass-subcritical regime for the NLS equation with double nonlinearities, where a focusing leading term is perturbed by a lower order defocusin…
On completeness of modified wave operators for defocusing NLS
Vladimir Georgiev, Tohru Ozawa
In this manuscript, we study modified scattering for the nonlinear defocusing Schrödinger equation with a critical gauge-invariant nonlinearity of order 1+2/n. We address the follo…
Local well-posedness and blow-up in the energy space for the 2D NLS with point interaction
Luigi Forcella, Vladimir Georgiev
We consider the two-dimensional nonlinear Schrödinger equation with point interaction and we establish a local well-posedness theory, including blow-up alternative and continuous d…
Zero resonances for localised potentials
Vladimir Georgiev, Jens Wirth
This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow to provide estimates for the first…