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arXiv · 2201.05031

Renormalization of singular elliptic stochastic PDEs using flow equation

Paweł Duch
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Abstract

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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Paweł Duch. 2022-01-13. Renormalization of singular elliptic stochastic PDEs using flow equation. https://doi.org/10.2140/pmp.2025.6.111

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