Deterministic local wellposedness on R x T at s>3/4 (or s>1/2 under a low-frequency condition), shown optimal for the bilinear/Picard method, plus probabilistic wellposedness for generic H^s data with s>-1/26.
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations: Part I: Schr¨ odinger equations
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Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$
Deterministic local wellposedness on R x T at s>3/4 (or s>1/2 under a low-frequency condition), shown optimal for the bilinear/Picard method, plus probabilistic wellposedness for generic H^s data with s>-1/26.