Large deviation principle for a space-time fractional stochastic heat equation with fractional noise
From MaRDI portal
Publication:1799748
DOI10.1515/fca-2018-0026zbMath1398.60047OpenAlexW2807737201MaRDI QIDQ1799748
Publication date: 19 October 2018
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2018-0026
large deviationweak convergence methodfractional-white noisespace-time fractional stochastic heat equation
Fractional processes, including fractional Brownian motion (60G22) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractional partial differential equations (35R11)
Related Items
Space-time fractional Anderson model driven by Gaussian noise rough in space, Exact asymptotic formulas for the heat kernels of space and time-fractional equations, Fractional Langevin type equations for white noise distributions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large deviation principle for stochastic heat equation with memory
- Intermittence and space-time fractional stochastic partial differential equations
- Intermittency for the wave and heat equations with fractional noise in time
- Space-time fractional stochastic partial differential equations
- Stochastic partial differential equations: an introduction
- Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains
- Intermittency fronts for space-time fractional stochastic partial differential equations in \((d + 1)\) dimensions
- On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations
- Feynman-Kac formula for heat equation driven by fractional white noise
- Stochastic evolution equations of jump type: Existence, uniqueness and large deviation princi\-ples
- Large deviations for infinite dimensional stochastic dynamical systems
- Stochastic heat equation driven by fractional noise and local time
- Stochastic partial differential equations. A modeling, white noise functional approach
- Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
- On the small time asymptotics of diffusion processes on Hilbert spaces.
- Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term.
- Approximation and support theorem in Hölder norm for parabolic stochastic partial differential equations
- Completely monotone generalized Mittag-Leffler functions
- Stochastic heat equation with multiplicative fractional-colored noise
- Fractional time stochastic partial differential equations
- Fractional diffusion in Gaussian noisy environment
- Large deviations for stochastic nonlinear beam equations
- Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion
- Asymptotic properties of some space-time fractional stochastic equations
- Large deviation principles for the stochastic quasi-geostrophic equations
- Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
- Comparing Fréchet and positive stable laws
- Space-time fractional diffusions in Gaussian noisy environment
- A Laplace Principle for a Stochastic Wave Equation in Spatial Dimension Three
- The Malliavin Calculus and Related Topics
- Large deviations for a fractional stochastic heat equation in spatial dimension ℝd driven by a spatially correlated noise
- Nonlinear stochastic time-fractional diffusion equations on $\mathbb {R}$: Moments, Hölder regularity and intermittency
- Large deviation principle for a stochastic heat equation with spatially correlated noise
