Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equation

DOI10.1090/memo/1340zbMath1494.60001arXiv1611.03909OpenAlexW3210261018MaRDI QIDQ5063336

Le Chen, David Nualart, Yaozhong Hu

Publication date: 17 March 2022

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03909

zbMATH Keywords

Malliavin calculusstochastic heat equationparabolic Anderson modelspace-time white noisenegative momentsmeasure-valued initial dataregularity of densitystrict positivity of density

Mathematics Subject Classification ID

Random fields (60G60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items (10)

Quantitative normal approximations for the stochastic fractional heat equation ⋮ Convergence of densities of spatial averages of stochastic heat equation ⋮ Nonlinear stochastic wave equation driven by rough noise ⋮ Malliavin calculus and densities for singular stochastic partial differential equations ⋮ Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein's method ⋮ A central limit theorem for the stochastic heat equation ⋮ Nonlinear stochastic time-fractional slow and fast diffusion equations on \(\mathbb{R}^d\) ⋮ Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial condition ⋮ Spatial Stationarity, Ergodicity, and CLT for Parabolic Anderson Model with Delta Initial Condition in Dimension $d\geq 1$ ⋮ Asymptotics of the density of parabolic Anderson random fields

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