On the global maximum of the solution to a stochastic heat equation with compact-support initial data

DOI10.1214/09-AIHP328zbMath1210.35305arXiv0901.3814MaRDI QIDQ629775

Mohammud Foondun, Davar Khoshnevisan

Publication date: 10 March 2011

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/0901.3814

zbMATH Keywords

stochastic heat equationintermittency

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60)

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Chaotic characterization of one dimensional stochastic fractional heat equation ⋮ Decorrelation of total mass via energy ⋮ On the chaotic character of the stochastic heat equation. II ⋮ On the chaotic character of the stochastic heat equation, before the onset of intermitttency ⋮ On the existence and position of the farthest peaks of a family of stochastic heat and wave equations ⋮ A boundedness trichotomy for the stochastic heat equation ⋮ Initial measures for the stochastic heat equation ⋮ Spatial asymptotics for the Feynman-Kac formulas driven by time-dependent and space-fractional rough Gaussian fields with the measure-valued initial data ⋮ Intermittency and Chaos for a Nonlinear Stochastic Wave Equation in Dimension 1 ⋮ Intermittency for the stochastic heat equation with Lévy noise

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