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Renormalization of singular elliptic stochastic PDEs using flow equation

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arxiv 2201.05031 v3 pith:GBIF2OXU submitted 2022-01-13 math.PR math-phmath.MP

Pawe{l} Duch This is my paper
classification math.PRmath-phmath.MP
keywords ellipticequationflowpdesrenormalizationsingularstochastictheory
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Renormalised Models for Variable Coefficient Singular SPDEs

    math.AP 2025-07 conditional novelty 7.0 of 10

    The paper proves convergence of renormalised models in regularity structures for variable coefficient singular SPDEs across full subcritical regimes, with renormalisation functions depending only on a finite jet of th...

  2. Lecture notes on the flow equation approach to singular stochastic PDEs

    math.PR 2025-11 conditional novelty 4.0 of 10

    A scale-by-scale flow equation with suitably chosen counterterms constructs renormalized solutions of fractional elliptic Phi^4 SPDEs throughout the subcritical regime.

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