Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions

From MaRDI portal
Publication:5962533

DOI10.1214/14-AOP954zbMath1338.60155arXiv1307.0600OpenAlexW3099467105MaRDI QIDQ5962533

Le Chen, Robert C. Dalang

Publication date: 12 February 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0600




Related Items

Another look at the Balázs-Quastel-Seppäläinen theoremIntermittency for the hyperbolic Anderson model with rough noise in spaceAn approximation result for a class of stochastic heat equations with colored noiseIntermittency for the wave and heat equations with fractional noise in timeChaotic characterization of one dimensional stochastic fractional heat equationINTERMITTENCY AND MULTISCALING IN LIMIT THEOREMSDecorrelation of total mass via energyIntermittency of trawl processesRegularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat EquationHigh order Anderson parabolic model driven by rough noise in spaceIntermittency for the stochastic heat equation driven by a rough time fractional Gaussian noiseNonlinear stochastic heat equation driven by spatially colored noise: moments and intermittencySome recent progress on stochastic heat equationsConvergence of densities of spatial averages of stochastic heat equationIntermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noisesContinuity of the solution to a stochastic time-fractional diffusion equations in the spatial domain with locally Lipschitz sourcesLaw of iterated logarithms and fractal properties of the KPZ equationThe unusual properties of aggregated superpositions of Ornstein-Uhlenbeck type processesSuperlinear stochastic heat equation on ℝ^{𝕕}A landscape of peaks: the intermittency islands of the stochastic heat equation with Lévy noiseThe stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittencyLyapunov exponents of the SHE under general initial dataOn Besov regularity and local time of the solution to the stochastic heat equationFeynman-Kac formula for iterated derivatives of the parabolic Anderson modelA boundedness trichotomy for the stochastic heat equationContinuity and strict positivity of the multi-layer extension of the stochastic heat equationFractional stochastic wave equation driven by a Gaussian noise rough in spaceNonlinear stochastic time-fractional diffusion equations on $\mathbb {R}$: Moments, Hölder regularity and intermittencyLarge time asymptotics for the parabolic Anderson model driven by space and time correlated noiseUnnamed ItemA note on intermittency for the fractional heat equationSimple nonlinear models with rigorous extreme events and heavy tailsA central limit theorem for the stochastic heat equationExistence, uniqueness, and regularity for stochastic evolution equations with irregular initial valuesTwo-point correlation function and Feynman-Kac formula for the stochastic heat equationAnalysis of a stratified Kraichnan flowNonlinear stochastic time-fractional slow and fast diffusion equations on \(\mathbb{R}^d\)Lyapunov exponents of the half-line SHESome effects of the noise intensity upon non-linear stochastic heat equations on \([0, 1\)] ⋮ Fractional moments of the stochastic heat equationParabolic Anderson model with space-time homogeneous Gaussian noise and rough initial conditionStochastic comparisons for stochastic heat equationMoments, intermittency and growth indices for the nonlinear fractional stochastic heat equationSpatial ergodicity and central limit theorems for parabolic Anderson model with delta initial conditionSpatial Stationarity, Ergodicity, and CLT for Parabolic Anderson Model with Delta Initial Condition in Dimension $d\geq 1$Upper-tail large deviation principle for the ASEPIntermittency for the stochastic heat equation with Lévy noiseKPZ equation tails for general initial dataNonlinear fractional stochastic heat equation driven by Gaussian noise rough in spaceGaussian fluctuation for spatial average of parabolic Anderson model with Neumann/Dirichlet/periodic boundary conditionsHölder regularity for the nonlinear stochastic time-fractional slow \& fast diffusion equations on \({\mathbb{R}}^d\)


Uses Software


Cites Work