N. Skouloudis

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20222026

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math.AP2026

Strichartz Estimates and Small-Mass Global Well-Posedness for the Periodic Quintic NLS in 1D

Nikolaos Skouloudis, Jiahui Yu

We consider the periodic quintic nonlinear Schrödinger and prove small-mass global well-posedness in $H^{s} (T)$ for $s > 0$ . The proof relies on a new derivative-loss-free $L^…

math.AP2025

Global Well-posedness for the periodic fractional cubic NLS in 1D

Alexandre Megretski, Nikolaos Skouloudis

We consider the defocusing periodic fractional nonlinear Schrödinger equation $i \partial_{t} u + (- Δ)^{α} u = - ∣ u ∣^{2} u,$ where $\frac{1}{2} < α < 1$ and the oper…