5 citations · 8 across the 2 of their papers we have counts for
6 papers
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…
Iterated paraproducts and iterated commutator estimates in Besov spaces
Masato Hoshino
We extend the results in [6] to Besov spaces with and .
Paracontrolled calculus and regularity structures (II)
I. Bailleul, M. Hoshino
We prove a general equivalence statement between the notions of models and modelled distributions over a regularity structure, and paracontrolled systems indexed by the regularity…
Commutator estimates from a viewpoint of regularity structures
Masato Hoshino
First we introduce the Bailleul-Hoshino's result [4], which links the theory of regularity structures and the paracontrolled calculus. As an application of their result, we give an…
Paracontrolled calculus and regularity structures
I. Bailleul, M. Hoshino
We start in this work the study of the relation between the theory of regularity structures and paracontrolled calculus. We give a paracontrolled representation of the reconstructi…
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…