A Solution Theory for Quasilinear Singular SPDEs

DOI10.1002/cpa.21816zbMath1458.60077arXiv1712.01881OpenAlexW2774509852MaRDI QIDQ5243673

Máté Gerencsér, Martin Hairer

Publication date: 19 November 2019

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01881

zbMATH Keywords

renormalizationSPDEregularity structures

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Quasilinear parabolic equations (35K59) Singular stochastic partial differential equations (60H17) Regularity structures (60L30)

Related Items (18)

Random tensors, propagation of randomness, and nonlinear dispersive equations ⋮ Renormalising SPDEs in regularity structures ⋮ Nondivergence form quasilinear heat equations driven by space-time white noise ⋮ Pathwise mild solutions for quasilinear stochastic partial differential equations ⋮ Stochastic PDE limit of the six vertex model ⋮ Paracontrolled calculus for quasilinear singular PDEs ⋮ Concentration estimates for slowly time-dependent singular SPDEs on the two-dimensional torus ⋮ Directed mean curvature flow in noisy environment ⋮ Singular kinetic equations and applications ⋮ A pathwise stochastic Landau-Lifshitz-Gilbert equation with application to large deviations ⋮ Some recent progress in singular stochastic partial differential equations ⋮ Quasilinear rough partial differential equations with transport noise ⋮ Introduction ⋮ A non-linear parabolic PDE with a distributional coefficient and its applications to stochastic analysis ⋮ Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method ⋮ Porous media equations with multiplicative space-time white noise ⋮ On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs ⋮ Langevin dynamic for the 2D Yang-Mills measure

This page was built for publication: A Solution Theory for Quasilinear Singular SPDEs