Optimal mass normalizability for Gibbs measure associated with NLS on the 2D disc

Abstract

We prove the normalizability of Gibbs measure associated with radial focusing nonlinear Schrödinger equation (NLS) on the 2-dimensional disc $\mathbb{D}$, at critical mass threshold. The result completes the study of optimal mass normalizability on $\mathbb{D}$ by Oh-Sosoe-Tolomeo (2021).

36 pages