154 citations · 666 across the 66 of their papers we have counts for
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Invariance of the white noise for KdV
Tadahiro Oh
We prove the invariance of the mean 0 white noise for the periodic KdV. First, we show that the Besov-type space \hat{b}^s_{p, \infty}, sp <-1, contains the support of the white no…
Invariance of the Gibbs Measure for the Schrodinger-Benjamin-Ono System
Tadahiro Oh
We prove the invariance of the Gibbs measure for the periodic Schrodinger-Benjamin-Ono system (when the coupling parameter |γ| \ne 0, 1) by establishing a new local well-posedness…
Invariant Gibbs Measures and a.s. Global Well-Posedness for Coupled KdV Systems
Tadahiro Oh
We continue our study of the well-posedness theory of a one-parameter family of coupled KdV-type systems in the periodic setting. When the value of a coupling parameter α\in (0, 4)…
Diophantine Conditions in Well-Posedness Theory of Coupled KdV-Type Systems: Local Theory
Tadahiro Oh
We consider the local well-posedness problem of a one-parameter family of coupled KdV-type systems both in the periodic and non-periodic setting. In particular, we show that certai…
Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L^2(T)
James Colliander, Tadahiro Oh
We consider the Cauchy problem for the one-dimensional periodic cubic nonlinear Schrödinger equation (NLS) with initial data below L^2. In particular, we exhibit nonlinear smoothin…
Periodic Stochastic Korteweg-de Vries Equation
Tadahiro Oh
We prove the local well-posedness of the periodic stochastic Korteweg-de Vries equation with the additive space-time white noise. In order to treat low regularity of the white nois…