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- W4287822458 abstract "The theory of regularity structures enables the definition of the following parabolic Anderson model in a very rough environment: $partial_{t} u_{t}(x) = frac12 Delta u_{t}(x) + u_{t}(x) , dot W_{t}(x)$, for $tinmathbb{R}_{+}$ and $xin mathbb{R}^{d}$, where $dot W_{t}(x)$ is a Gaussian noise whose space time covariance function is singular. In this rough context, we shall give some information about the moments of $u_{t}(x)$ when the stochastic heat equation is interpreted in the Skorohod as well as the Stratonovich sense. Of special interest is the critical case, for which one observes a blowup of moments for large times." @default.
- W4287822458 created "2022-07-26" @default.
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- W4287822458 date "2020-03-31" @default.
- W4287822458 modified "2023-09-24" @default.
- W4287822458 title "Moment estimates for some renormalized parabolic Anderson models" @default.
- W4287822458 hasPublicationYear "2020" @default.
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