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

Tianhao Xian

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arXiv · 2204.09561

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

Tianhao Xian

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Abstract

We prove the normalizability of Gibbs measure associated with radial focusing nonlinear Schr\"{o}dinger 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).

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Tianhao Xian. 2022-04-20. Optimal mass normalizability for Gibbs measure associated with NLS on the 2D disc. https://arxiv.org/abs/2204.09561

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