activity
20102020
most cited1D quintic nonlinear Schrödinger equation with white noise dispersion

11 citations · 14 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2020★ 3 cited

Quasi-Invariance of Gaussian Measures Transported by the Cubic NLS with Third-Order Dispersion on

Arnaud Debussche, Yoshio Tsutsumi

We consider the Nonlinear Schrödinger (NLS) equation and prove that the Gaussian measure with covariance on is quasi-invariant for the asso…

math.AP2018

Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third order dispersion

Tadahiro Oh, Yoshio Tsutsumi, Nikolay Tzvetkov

In this paper, we consider the cubic nonlinear Schrödinger equation with third order dispersion on the circle. In the non-resonant case, we prove that the mean-zero Gaussian measur…

math.AP2010★ 11 cited

1D quintic nonlinear Schrödinger equation with white noise dispersion

Arnaud Debussche, Yoshio Tsutsumi

In this article, we improve the Strichartz estimates obtained in [12] for the Schrödinger equation with white noise dispersion in one dimension. This allows us to prove global well…