Fractional stochastic wave equation driven by a Gaussian noise rough in space
2019
In this article, we consider fractional stochastic wave equations on $\mathbb R$ driven by a multiplicative Gaussian noise which is white/colored in time and has the covariance of a fractional Brownian motion with Hurst parameter $H\in(\frac14, \frac12)$ in space. We prove the existence and uniqueness of the mild Skorohod solution, establish lower and upper bounds for the $p$-th moment of the solution for all $p\ge2$, and obtain the H\"older continuity in time and space variables for the solution.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
43
References
0
Citations
NaN
KQI