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Asymptotics of PDE in random environment by paracontrolled calculus | | Tadahisa Funaki
; Masato Hoshino
; Sunder Sethuraman
; Bin Xie
; | | Date: |
7 May 2020 | | Abstract: | We apply the paracontrolled calculus to study the asymptotic behavior of a
certain quasilinear PDE with smeared mild noise, which originally appears as
the space-time scaling limit of a particle system in random environment on one
dimensional discrete lattice. We establish the convergence result and show a
local in time well-posedness of the limit stochastic PDE with spatial white
noise. It turns out that our limit stochastic PDE does not require any
renormalization. We also show a comparison theorem for the limit equation. | | Source: | arXiv, 2005.3326 | | Services: | Forum | Review | PDF | Favorites | |
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