# A regularity result for the nonlocal Fokker-Planck equation with Ornstein-Uhlenbeck drift

@article{Xie2015ARR, title={A regularity result for the nonlocal Fokker-Planck equation with Ornstein-Uhlenbeck drift}, author={XiaoXia Xie and Jinqiao Duan and Xiaofan Li and Guangying Lv}, journal={arXiv: Dynamical Systems}, year={2015} }

Despite there are numerous theoretical studies of stochastic differential equations with a symmetric $\alpha$-stable L\'evy noise, very few regularity results exist in the case of $0 0$ when $\alpha\in (0, 2]$.

1

Twitter Mention

#### Citations

##### Publications citing this paper.

SHOWING 1-7 OF 7 CITATIONS

## Morrey-Campanato estimates for the moments of stochastic integral operators and its application to SPDEs

VIEW 1 EXCERPT

CITES BACKGROUND

## Hölder estimates of mild solutions for nonlocal SPDEs

VIEW 1 EXCERPT

## BMO estimates for stochastic singular integral operators and its application to PDEs with L\'{e}vy noise

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 21 REFERENCES

## Ornstein–Uhlenbeck–Cauchy process

VIEW 1 EXCERPT