论文标题

使用流程方程将单数椭圆随机PDE的重新归一化

Renormalization of singular elliptic stochastic PDEs using flow equation

论文作者

Duch, Paweł

论文摘要

我们为具有分数拉普拉斯,加性白噪声和立方非线性的奇异椭圆随机PDE开发了解决方案理论。该方法涵盖了整个亚临界体制。它基于Wilsonian重新归一化的群体理论和Polchinski流程方程。

We develop a solution theory for singular elliptic stochastic PDEs with fractional Laplacian, additive white noise and cubic non-linearity. The method covers the whole sub-critical regime. It is based on the Wilsonian renormalization group theory and the Polchinski flow equation.

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