A boundedness trichotomy for the stochastic heat equation

DOI10.1214/16-AIHP780zbMath1387.60096arXiv1510.04674OpenAlexW2964113350MaRDI QIDQ1700402

Le Chen, Kunwoo Kim, Davar Khoshnevisan

Publication date: 5 March 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04674

zbMATH Keywords

stochastic heat equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (2)

Simple nonlinear models with rigorous extreme events and heavy tails ⋮ Spatial asymptotics for the Feynman-Kac formulas driven by time-dependent and space-fractional rough Gaussian fields with the measure-valued initial data

Cites Work

• Unnamed Item
• Unnamed Item
• On the chaotic character of the stochastic heat equation, before the onset of intermitttency
• Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions
• Strong invariance and noise-comparison principles for some parabolic stochastic PDEs
• On the global maximum of the solution to a stochastic heat equation with compact-support initial data
• Intermittence and nonlinear parabolic stochastic partial differential equations
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• On the boundedness of solutions of SPDEs
• Ergodic theorems and exponential decay of sample paths for certain interacting diffusion systems
• On the support of solutions to the heat equation with noise
• Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions

This page was built for publication: A boundedness trichotomy for the stochastic heat equation