Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations
DOI10.1007/s40072-022-00236-yzbMath1518.60037arXiv2101.00085OpenAlexW4220703470WikidataQ114219532 ScholiaQ114219532MaRDI QIDQ6172094
Konstantinos V. Spiliopoulos, Ioannis Gasteratos, Michael Salins
Publication date: 18 July 2023
Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.00085
optimal controlstochastic reaction-diffusion equationsmoderate deviationsweak convergence methodmultiscale processes
Reaction-diffusion equations (35K57) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)
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Cites Work
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- Large deviations for multiscale diffusion via weak convergence methods
- Large deviations for infinite dimensional stochastic dynamical systems
- Averaging principle for a class of stochastic reaction-diffusion equations
- Normal deviations from the averaged motion for some reaction-diffusion equations with fast oscillating perturbation
- A variational representation for certain functionals of Brownian motion
- Gaussian estimates and interpolation of the spectrum in \(L^ p\)
- Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
- Large deviations and approximations for slow-fast stochastic reaction-diffusion equations
- On the Poisson equation and diffusion approximation. I
- Averaging principle of SDE with small diffusion: Moderate deviations
- On the Ornstein-Uhlenbeck operator in spaces of continuous functions
- Large deviations and importance sampling for systems of slow-fast motion
- Large deviations and averaging for systems of slow-fast stochastic reaction-diffusion equations
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- MDP for integral functionals of fast and slow processes with averaging
- Moderate deviations for recursive stochastic algorithms
- Moderate Deviations for a Diffusion-Type Process in a Random Environment
- Elliptic Partial Differential Equations of Second Order
- Moderate deviations for systems of slow-fast diffusions
- The Stability of Positive Semigroups on L p Spaces
- Ergodicity for Infinite Dimensional Systems
- Pathwise moderate deviations for option pricing
- Stochastic Equations in Infinite Dimensions
- Importance Sampling for Slow-Fast Diffusions Based on Moderate Deviations
- Analysis and Approximation of Rare Events
- Measurable Functions on Hilbert Space
- Second order PDE's in finite and infinite dimension
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