N. Visciglia

activity

20052026

most citedExistence and Stability of standing waves for supercritical NLS with a Partial Confinement

103 citations · 425 across the 52 of their papers we have counts for

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Showing 2021Show all

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math.AP2021

$H^{1}$ scattering for mass-subcritical NLS with short-range nonlinearity and initial data in $Σ$

N. Burq, V. Georgiev, N. Tzvetkov +1

We consider short-range mass-subcritical nonlinear Schrödinger equations and we show that the corresponding solutions with initial data in $Σ$ scatter in $H^{1}$ . Hence we up-grade t…

math.AP2021

Growth of Sobolev Norms for 2d NLS with harmonic potential

F. Planchon, N. Tzvetkov, N. Visciglia

We prove polynomial upper bounds on the growth of solutions to 2d cubic NLS where the Laplacian is confined by the harmonic potential. Due to better bilinear effects our bounds imp…

math.AP2021★ 1 cited

Modified energies for the periodic generalized KdV equation and applications

F. Planchon, N. Tzvetkov, N. Visciglia

We construct modified energies for the generalized KdV equation. As a consequence, we obtain quasi-invariance of the high order Gaussian measures along with $L^{p}$ regularity on the…

H1 scattering for mass-subcritical NLS with short-range nonlinearity and initial data in Σ

Growth of Sobolev Norms for 2d NLS with harmonic potential

Modified energies for the periodic generalized KdV equation and applications

$H^{1}$ scattering for mass-subcritical NLS with short-range nonlinearity and initial data in $Σ$