Zexing Li

collaborators

2 papers

math.AP2025

Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum

Zexing Li

In continuation of the study of the companion work, we prove the high-energy mode stability for linearized operator around self-similar profiles in [Bahri-Martel-RaphaÃ«l, 2021] fo…

math.AP2025

Mode stability for self-similar blowup of slightly supercritical NLS: I. low-energy spectrum

Zexing Li

We consider self-similar blowup for (NLS) $i \partial_{t} u + I^ u + u ∣ u ∣^{p - 1} = 0$ in $d \geq 1$ and slightly mass-supercritical range $0 < s_{c} := \frac{d}{2} - \frac{2}{p - 1} ≪ 1$ . The…