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math.PR2022★ 2 cited
Renormalization of singular elliptic stochastic PDEs using flow equation
Paweł Duch
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…
math.PR2021★ 11 cited
Flow equation approach to singular stochastic PDEs
Paweł Duch
We prove universality of a macroscopic behavior of solutions of a large class of semi-linear parabolic SPDEs on with fractional Laplacian $(-Δ)^{σ/2}…