论文标题
具有立方非线性的二维随机复合物Ginzburg-landau方程的全球适应性
Global well-posedness of the two-dimensional stochastic complex Ginzburg-Landau equation with cubic nonlinearity
论文作者
论文摘要
本文的目的是在最低假设下证明二维随机复合物Ginzburg-landau方程的全球良好性是由添加剂时空白噪声驱动的。除了全球良好的态度外，我们还证明了解决方案的估计值，该溶液相对于初始条件和动力学的强大特性均匀。
The aim of this paper is to prove, under minimum assumptions, the global well-posedness of the two-dimensional stochastic complex Ginzburg-Landau equation on the torus driven by the additive space-time white noise. In addition to the global well-posedness, we prove an estimate of the solution which is uniform with respect to the initial condition and the strong Feller property of the dynamics.
