Harnack type inequalities for SDEs driven by fractional Brownian motion with Markovian switching
From MaRDI portal
Publication:6101864
DOI10.1007/s10473-023-0323-0zbMath1524.60132MaRDI QIDQ6101864
Wenyi Pei, Zhen Long Chen, Litan Yan
Publication date: 5 May 2023
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
fractional Brownian motionstochastic differential equationsMarkovian switchingHarnack-type inequalities
Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic calculus of variations and the Malliavin calculus (60H07)
Cites Work
- On almost sure stability conditions of linear switching stochastic differential systems
- Harnack inequality and derivative formula for SDE driven by fractional Brownian motion
- Stability of stochastic delay hybrid systems with jumps
- Harnack inequality for functional SDEs with bounded memory
- Continuous-time Markov chains. An applications-oriented approach
- Integration with respect to fractal functions and stochastic calculus. I
- Stochastic analysis of the fractional Brownian motion
- Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
- Stability of stochastic differential equations with Markovian switching
- Hypercontractivity of Hamilton-Jacobi equations.
- Differential equations driven by fractional Brownian motion
- Exponential stability of SDEs driven by fBm with Markovian switching
- Exponential ergodicity for Markov processes with random switching
- Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups
- Stochastic calculus for fractional Brownian motion and related processes.
- Harnack inequality and strong Feller property for stochastic fast-diffusion equations
- Regularization of differential equations by fractional noise.
- Asymptotic stability in distribution of stochastic differential equations with Markovian switching.
- Heat Kernel Estimates with Application to Compactness of Manifolds
- Long time behavior of diffusions with Markov switching
- Strong Solutions and Strong Feller Properties for Regime-Switching Diffusion Processes in An Infinite State Space
- LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES
- Ergodic Control of Switching Diffusions
- Stochastic Calculus for Fractional Brownian Motion I. Theory
- Integration by Parts Formula and Applications for SDEs Driven by Fractional Brownian Motions
- Stochastic Calculus for Fractional Brownian Motion and Applications
- Stochastic calculus with respect to Gaussian processes