论文标题
具有白噪声潜力和通用多项式非线性的$ 2D $ NLS的全球动态
Global dynamics of the $2d$ NLS with white noise potential and generic polynomial nonlinearity
论文作者
论文摘要
使用hairer-labb \'e引入的方法，我们在$ \ t^2 $上为NLS构建了独特的全局动力学，具有白噪声潜力和任意的多项式非线性。我们将解决方案构建为具有平滑电势的同一方程式的经典解决方案（最多达相移）的限制。这是对我们和Debussche-Weber先前贡献的改进，分别处理了四分之一的非线性和立方非线性。
Using an approach introduced by Hairer-Labb\' e we construct a unique global dynamics for the NLS on $\T^2$ with a white noise potential and an arbitrary polynomial nonlinearity. We build the solutions as a limit of classical solutions (up to a phase shift) of the same equation with smoothed potentials. This is an improvement on previous contributions of us and Debussche-Weber dealing with quartic nonlinearities and cubic nonlinearities respectively.
