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math.AP2026
Unconditional well-posedness of the stochastic Korteweg-de Vries equation on the real line
Damiano Greco, Tadahiro Oh, Kotaro Tsugawa
We study well-posedness issues of the stochastic Korteweg-de Vries equation (SKdV) with an additive noise, posed on the real line. By using the Fourier restriction norm method adap…
math.AP2023
On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing
Jingyu Huang, Tadahiro Oh, Mamoru Okamoto
In this note, we establish a bi-parameter linear localization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing.