12 citations · 27 across the 5 of their papers we have counts for
Showing 2012 · math.APShow all
3 papers · 2 filters
math.AP2012★ 10 cited
Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations
Zaher Hani
We study the energy cascade problematic for some nonlinear Schrödinger equations on the torus $\T^2$ in terms of the growth of Sobolev norms. We define the notion of long-time stro…
math.AP2012
On scattering for the quintic defocusing nonlinear Schrödinger equation on \R \times \T^2
Zaher Hani, Benoit Pausader
We consider the problem of large data scattering for the quintic nonlinear Schrödinger equation on $\R \times \T^2$. This equation is critical both at the level of energy and mass.…
math.AP2012★ 3 cited
On scattering for the quintic defocusing nonlinear Schrödinger equation on \R \times \T^2
Zaher Hani, Benoit Pausader
We consider the problem of large data scattering for the quintic nonlinear Schrödinger equation on $\R \times \T^2$. This equation is critical both at the level of energy and mass.…