1D quintic nonlinear Schrodinger equation with white noise dispersion

作者：Debussche Arnaud^*; Tsutsumi Yoshio

来源：Journal de Mathematiques Pures et Appliquees, 2011, 96(4): 363-376.

DOI：10.1016/j.matpur.2011.02.002

• Nonlinear Schrodinger
• White noise dispersion
• Strichartz estimates
• Stochastic partial differential equation

In this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche (2010) [12] for the Schrodinger equation with white noise dispersion in one dimension. This allows us to prove global well posedness when a quintic critical nonlinearity is added to the equation. We finally show that the white noise dispersion is the limit of smooth random dispersion.

• 出版日期2011-10