output
20022009
most citedDynamical control of matter-wave tunneling in periodic potentials

648 citations

Showing 2008 · math.APShow all

9 papers · 2 filters

math.AP20083 cited

On the decay of solutions to a class of defocusing NLS

Nicola Visciglia

We consider the following family of Cauchy problems: {equation*} i\partial_t u= Δu - u|u|^α, (t,x) \in \R \times \R^d {equation*} where f…

math.AP20082 cited

Energy dissipation and self-similar solutions for an unforced inviscid dyadic model

D. Barbato, F. Flandoli, F. Morandin

A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved a…

math.AP20087 cited

Hylomorphic solitons in the nonlinear Klein-Gordon equation

J. Bellazzini, V. Benci, C. Bonanno +1

Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localised packet and which preserves this localisation in time. A soliton is a solitary…

math.AP20082 cited

On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D

Scipio Cuccagna, Nicola Visciglia

We consider a nonlinear Schroedinger equation with a finite bands periodic potential in R . We assume the existence of an orbitally stable family of ground states. We prove that un…

math.AP2008

Scattering for small energy solutions of NLS with periodic potential in 1D

Scipio Cuccagna, Nicola Visciglia

We prove scattering for small solutions to of nonlinear Schroedinger equations in 1D with a space periodic potential

math.AP20081 cited

Spectral gap global solutions for degenerate Kirchhoff equations

Marina Ghisi, Massimo Gobbino

We consider the second order Cauchy problem where is a continuous function, and is a self-ad…