Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.20683 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917167430107136 |
|---|---|
| author | Jiang, Boyu Shen, Jiawei Li, Kexue |
| author_facet | Jiang, Boyu Shen, Jiawei Li, Kexue |
| contents | This paper investigates the Cauchy problem for the nonlinear Schrödinger equation (NLS) in the mass-supercritical and energy-subcritical regime within three spatial dimensions. For initial data in the critical homogeneous Sobolev space $\dot{H}^{s_c}(\mathbb{R}^3)$ (where $s_c = \frac{5}{6}$), we get a uniform decay estimate for the long-time dynamics of solutions, which extends the previous results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20683 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dispersive decay for the Inter-critical nonlinear Schrödinger equation in $\mathbb{R}^3$ Jiang, Boyu Shen, Jiawei Li, Kexue Analysis of PDEs This paper investigates the Cauchy problem for the nonlinear Schrödinger equation (NLS) in the mass-supercritical and energy-subcritical regime within three spatial dimensions. For initial data in the critical homogeneous Sobolev space $\dot{H}^{s_c}(\mathbb{R}^3)$ (where $s_c = \frac{5}{6}$), we get a uniform decay estimate for the long-time dynamics of solutions, which extends the previous results. |
| title | Dispersive decay for the Inter-critical nonlinear Schrödinger equation in $\mathbb{R}^3$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.20683 |