On the two-dimensional singular stochastic viscous nonlinear wave equations

We study the stochastic viscous nonlinear wave equations (SvNLW) on $\mathbb{T}^2$, forced by a fractional derivative of the space-time white noise $\xi $. In particular, we consider SvNLW with the singular additive forcing $D^\frac{1}{2}\xi $ such that solutions are expected to be merely distributi...

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Bibliographic Details
Main Authors: Liu, Ruoyuan, Oh, Tadahiro
Format: Article
Language:English
Published: Académie des sciences 2022-12-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.377/