5 papers
Three wave interaction solitons for an energy critical Schrödinger system
Luigi Forcella, Xiao Luo, Xiaolong Yang
We investigate standing waves for the energy critical Schrödinger system with three waves interaction arising as a model for the Raman amplification in a plasma. Several results a…
Standing waves for a Schrödinger system with three waves interaction
Luigi Forcella, Xiao Luo, Tao Yang +1
We study standing waves for a system of nonlinear Schrödinger equations with three waves interaction arising as a model for the Raman amplification in a plasma. We consider the ma…
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…
Invariant Gibbs dynamics for two-dimensional fractional wave equations in negative Sobolev spaces
Luigi Forcella, Oana Pocovnicu
We consider a fractional nonlinear wave equations (fNLW) with a general power-type nonlinearity, on the two-dimensional torus. Our main goal is to construct invariant global-in-tim…
Mass-subcritical Half-Wave Equation with mixed nonlinearities: existence and non-existence of ground states
Jacopo Bellazzini, Luigi Forcella
We consider the problem of existence of constrained minimizers for the focusing mass-subcritical Half-Wave equation with a defocusing mass-subcritical perturbation. We show the exi…