High order Anderson parabolic model driven by rough noise in space

DOI10.1142/S0219493721500520zbMath1484.60020OpenAlexW3176164761MaRDI QIDQ5065036

Qiyong Cao, Hong-Jun Gao

Publication date: 18 March 2022

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493721500520

zbMATH Keywords

Malliavin calculusHölder continuityintermittencyAnderson parabolic model

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Characteristic functions; other transforms (60E10) Irreversible thermodynamics, including Onsager-Machlup theory (82B35) Jump processes on general state spaces (60J76)

Cites Work

• Unnamed Item
• Unnamed Item
• Intermittency for the wave and heat equations with fractional noise in time
• The Wiener integral with respect to second order processes with stationary increments
• Integration questions related to fractional Brownian motion
• The stochastic heat equation: Feynman-Kac formula and intermittence.
• Chaos expansion of heat equations with white noise potentials
• Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise
• Chaos decomposition of multiple fractional integrals and applications
• 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
• Quenched asymptotics for a 1-d stochastic heat equation driven by a rough spatial noise
• Intermittency for the hyperbolic Anderson model with rough noise in space
• Spatial asymptotics for the parabolic Anderson model driven by a Gaussian rough noise
• The Malliavin Calculus and Related Topics
• Stochastic Calculus for Fractional Brownian Motion and Applications
• On a Class of Stochastic Anderson Models with Fractional Noises
• STOCHASTIC CAHN–HILLIARD PARTIAL DIFFERENTIAL EQUATIONS WITH LÉVY SPACETIME WHITE NOISES
• Heat equations with fractional white noise potentials
• Cahn-Hilliard stochastic equation: Existence of the solution and of its density
• Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions

This page was built for publication: High order Anderson parabolic model driven by rough noise in space