An introduction to singular SPDEs

Abstract

We review recent results on the analysis of singular stochastic partial differential equations in the language of paracontrolled distributions.

25 pages

References in corpus (12)

• An analytic BPHZ theorem for regularity structures
• The continuous Anderson hamiltonian in dimension two
• Algebraic renormalisation of regularity structures
• The Hairer--Quastel universality result in equilibrium
• Approximating three-dimensional Navier-Stokes equations driven by space-time white noise
• Construction of ${\Phi }_3^4$ diagrams for pedestrians
• High order paracontrolled calculus
• Restricted Markov uniqueness for the stochastic quantization of $P(\Phi {)}_2$ and its applications
• Paracontrolled quasilinear SPDEs
• Support theorem for a singular semilinear stochastic partial differential equation
• Piecewise linear approximation for the dynamical ${\Phi }_3^4$ model
• A coupled KPZ equation, its two types of approximations and existence of global solutions

Cited by in corpus (1)

• A tourist's guide to regularity structures and singular stochastic PDEs