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math.AP2023
A remark on randomization of a general function of negative regularity
Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu +1
In the study of partial differential equations (PDEs) with random initial data and singular stochastic PDEs with random forcing, we typically decompose a classically ill-defined so…
math.AP2023★ 1 cited
Global dynamics for the stochastic KdV equation with white noise as initial data
Tadahiro Oh, Jeremy Quastel, Philippe Sosoe
We study the stochastic Korteweg-de Vries equation (SKdV) with an additive space-time white noise forcing, posed on the one-dimensional torus. In particular, we construct global-in…