Abstract:We establish the global well-posedness of the Benjamin--Ono equation for small, zero-mean periodic initial data in the analytic Sobolev spaces $H^{\rho,s}_0$ for integer $s \ge 1$. For sufficiently small initial data, we develop a spectral rigidification mechanism that globally preserves the analyticity radius, yielding global well-posedness without continuous dynamic loss of analyticity.
From: Yubo Wang [view email]
[v1]
Wed, 27 May 2026 02:34:16 UTC (25 KB)
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