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- W3012042438 abstract "Cet article concerne l’équation d’Anderson parabolique begin{equation*}frac{partial u}{partial t}=frac{1}{2}Delta u+ufrac{partial^{d+1}W^{mathbf{H}}}{partial t,partial x_{1}cdots ,partial x_{d}} end{equation*} engendrée par un bruit fractionnaire de dimension $d+1$ avec un paramètre de Hurst $mathbf{H}=(H_{0},H_{1},ldots ,H_{d})$, en portant une attention particulière au cas où certains des paramètres $H_{0},ldots ,H_{d}$ sont inférieurs à $1/2$. Le cas rugueux en espace avait fait l’objet du travail récent (Ann. Inst. Henri Poincaré Probab. Stat. 55 (2019) 941–976). Pour mettre en place la dernière pièce du puzzle, cet article examine le cas $H_{0}<1/2$ en se penchant sur les problèmes de résolution, de la formule des moments de Feynman–Kac et de l’intermittence du système." @default.
- W3012042438 created "2020-03-23" @default.
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- W3012042438 date "2020-05-01" @default.
- W3012042438 modified "2023-10-18" @default.
- W3012042438 title "Parabolic Anderson model with a fractional Gaussian noise that is rough in time" @default.
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- W3012042438 doi "https://doi.org/10.1214/19-aihp983" @default.
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