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- W2945338340 abstract "Cet article s’interesse a l’equation d’Anderson parabolique [{frac{partial u}{partial t}}={frac{1}{2}}Delta u+u{frac{partial^{d+1}W^{mathbf{H}}}{partial tpartial x_{1}cdotspartial x_{d}}}] engendree par un bruit fractionnaire de dimension $(d+1)$ et de parametre de Hurst $mathbf{H}=(H_{0},H_{1},ldots,H_{d})$. L’existence et l’unicite, la formule des moments de Feynman–Kac et les exposants precis d’intermittence sont formules dans le cas ou l’un des parametres $H_{1},ldots,H_{d}$ est inferieur a un demi, et dans le cas ou la condition de Dalang [d-sum_{k=1}^{n}H_{j}<1quadmbox{est remplacee par }d-sum_{k=1}^{n}H_{j}=1.] Des resultats partiels sont aussi obtenus dans la cas $H_{0}<1/2$, ce qui donne une intuition de ce qui doit etre attendu dans le cas ou le bruit Gaussien est rugueux en temps." @default.
- W2945338340 created "2019-05-29" @default.
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- W2945338340 date "2019-05-01" @default.
- W2945338340 modified "2023-09-29" @default.
- W2945338340 title "Parabolic Anderson model with rough or critical Gaussian noise" @default.
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- W2945338340 doi "https://doi.org/10.1214/18-aihp904" @default.
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