Paracontrolled quasilinear SPDEs

Abstract

We introduce a non-linear paracontrolled calculus and use it to renormalise a class of singular SPDEs including certain quasilinear variants of the periodic two dimensional parabolic Anderson model.

30 pages. Reworded the introduction, added more details in some key proofs

References in corpus (7)

• The continuous Anderson hamiltonian in dimension two
• Singular stochastic PDEs
• Large scale behaviour of 3D continuous phase coexistence models
• Lectures on singular stochastic PDEs
• High order paracontrolled calculus
• Rough flows and homogenization in stochastic turbulence
• Heat semigroup and singular PDEs

Cited by in corpus (2)

• A solution theory for quasilinear singular SPDEs
• An introduction to singular SPDEs