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math.PR2020★ 5 cited
Asymptotics of PDE in random environment by paracontrolled calculus
Tadahisa Funaki, Masato Hoshino, Sunder Sethuraman +1
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…
math.PR2016
KPZ equation with fractional derivatives of white noise
Masato Hoshino
In this paper, we consider the KPZ equation driven by space-time white noise replaced with its fractional derivatives of order in spatial variable. A well-posedness theory fo…