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math.AP2009
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…
math.AP2009★ 48 cited
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)…
math.AP2009
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…