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- W2938693544 abstract "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 $Hin(frac14, frac12)$ 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 $pge2$, and obtain the Holder continuity in time and space variables for the solution." @default.
- W2938693544 created "2019-04-25" @default.
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- W2938693544 date "2019-04-22" @default.
- W2938693544 modified "2023-09-26" @default.
- W2938693544 title "Fractional stochastic wave equation driven by a Gaussian noise rough in space" @default.
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- W2938693544 doi "https://doi.org/10.48550/arxiv.1904.09905" @default.
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