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arXiv 2003.01569math.PRmath.AP
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具有立方非线性的二维随机复Ginzburg-Landau方程的全局适定性

Global well-posedness of the two-dimensional stochastic complex Ginzburg-Landau equation with cubic nonlinearity

Toyomu Matsuda

摘要:

在最小假设条件下,证明了加性时空白噪声驱动下环面上二维随机复Ginzburg-Landau方程的整体适定性.除了整体适定性,我们证明了估计的解决方案,这是统一的初始条件和强Feller性质的动力学。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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