Moment bounds for a generalized Anderson model with Gaussian noise rough in space

DOI10.1007/s10959-022-01175-zOpenAlexW4280614513MaRDI QIDQ6046188

Jun-Feng Liu

Publication date: 16 May 2023

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-022-01175-z

zbMATH Keywords

Anderson modelfractional Brownian motionMalliavin calculusGaussian noiseHölder continuityFeynman-Kac representationmoment bounds

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Unnamed Item
• Unnamed Item
• Intermittency for the wave and heat equations with fractional noise in time
• Remarks on non-linear noise excitability of some stochastic heat equations
• The stochastic wave equation with multiplicative fractional noise: A Malliavin calculus approach
• Generalized Anderson model with time-space multiplicative fractional noise
• Stochastic heat equation with rough dependence in space
• Moments, intermittency and growth indices for the nonlinear fractional stochastic heat equation
• Stochastic heat equation driven by fractional noise and local time
• Small deviations of general Lévy processes
• Intermittence and nonlinear parabolic stochastic partial differential equations
• Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise
• Parabolic Anderson model with rough dependence in space
• Parabolic Anderson model with space-time homogeneous Gaussian noise and rough initial condition
• Hölder continuity for the parabolic Anderson model with space-time homogeneous Gaussian noise
• Parabolic Anderson model with a fractional Gaussian noise that is rough in time
• Fractional stochastic wave equation driven by a Gaussian noise rough in space
• On a semilinear stochastic partial differential equation with double-parameter fractional noises
• Stochastic fractional Anderson models with fractional noises
• Parabolic Anderson model with rough or critical Gaussian noise
• Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups
• Intermittency for the hyperbolic Anderson model with rough noise in space
• Moment bounds for a class of fractional stochastic heat equations
• Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency
• On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension
• The Malliavin Calculus and Related Topics
• Non-linear noise excitation and intermittency under high disorder
• On a class of stochastic partial differential equations

This page was built for publication: Moment bounds for a generalized Anderson model with Gaussian noise rough in space