Large deviations principle for the cubic NLS equation with slowly decaying data
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912754301927424 |
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| author | Liang, Rui Wang, Yuzhao |
| author_facet | Liang, Rui Wang, Yuzhao |
| contents | In this note, we prove a sharp large derivation principle (LDP) for the cubic nonlinear Schrödinger equation with Gaussian random initial data in Fourier Lebesgue spaces. As a consequence, we improve the exponential decay condition in [M.A. Garrido, R. Grande, K.M. Kurianski, G. Staffilani. Commun. Pure Appl. Math. 76 (2023), 4087--4136] to $\ell^1$ decay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07773 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large deviations principle for the cubic NLS equation with slowly decaying data Liang, Rui Wang, Yuzhao Analysis of PDEs Probability Primary 35Q55, 60F10, Secondary 35R60, 35B40 In this note, we prove a sharp large derivation principle (LDP) for the cubic nonlinear Schrödinger equation with Gaussian random initial data in Fourier Lebesgue spaces. As a consequence, we improve the exponential decay condition in [M.A. Garrido, R. Grande, K.M. Kurianski, G. Staffilani. Commun. Pure Appl. Math. 76 (2023), 4087--4136] to $\ell^1$ decay. |
| title | Large deviations principle for the cubic NLS equation with slowly decaying data |
| topic | Analysis of PDEs Probability Primary 35Q55, 60F10, Secondary 35R60, 35B40 |
| url | https://arxiv.org/abs/2512.07773 |