Proves norm inflation for cubic hyperbolic NLS on T^2 in H^s for s ≤ 1/2 (s ≠ 0), establishing ill-posedness below the scaling-critical regularity s=1/2 in contrast to local well-posedness for s > 1/2.
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Norm inflation for the cubic hyperbolic NLS on $\mathbb T^2$
Proves norm inflation for cubic hyperbolic NLS on T^2 in H^s for s ≤ 1/2 (s ≠ 0), establishing ill-posedness below the scaling-critical regularity s=1/2 in contrast to local well-posedness for s > 1/2.