Nonlinear fractional stochastic heat equation driven by Gaussian noise rough in space

DOI10.1016/j.bulsci.2022.103207zbMath1502.60044OpenAlexW4306757581MaRDI QIDQ2100736

Lei Mao, Jun-Feng Liu

Publication date: 24 November 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2022.103207

zbMATH Keywords

fractional Brownian motionHölder regularityintermittencyfractional stochastic heat equationmoment bounds

Mathematics Subject Classification ID

Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Unnamed Item
• Unnamed Item
• Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains
• Stochastic heat equation with rough dependence in space
• Moments, intermittency and growth indices for the nonlinear fractional stochastic heat equation
• Fractional SPDEs driven by spatially correlated noise: existence of the solution and smoothness of its density
• Intermittence and nonlinear parabolic stochastic partial differential equations
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• The stochastic heat equation: Feynman-Kac formula and intermittence.
• Intermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noises
• Intermittency and stochastic pseudo-differential equation with spatially inhomogeneous white noise
• Parabolic Anderson model with rough dependence in space
• Stochastic heat equation with fractional Laplacian and fractional noise: existence of the solution and analysis of its density
• On the stochastic Burgers' equation in the real line
• Existence of strong solutions for Itô's stochastic equations via approximations
• Existence and uniqueness results for semilinear stochastic partial differential equations
• Moderate deviations for stochastic heat equation with rough dependence in Space
• Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups
• Large deviations for stochastic heat equation with rough dependence in space
• Moment bounds for a class of fractional stochastic heat equations
• Asymptotic properties of some space-time fractional stochastic equations
• SPDEs with affine multiplicative fractional noise in space with index \(\frac{1}{4} < H < \frac{1}{2}\)
• On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension
• Heat equations with fractional white noise potentials
• Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Nonlinear fractional stochastic heat equation driven by Gaussian noise rough in space