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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.07147 |
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| _version_ | 1866911306775265280 |
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| author | Messing, Josh |
| author_facet | Messing, Josh |
| contents | New Strichartz estimates for the modulated cubic nonlinear Schrödinger equation are proved. These Strichartz estimates allow us to show that this equation is pathwise locally well-posed. We also show that improved Strichartz estimates are available in the case where the modulation is white noise. Additionally, we comment on a few basic properties of the modulated cubic nonlinear Schrödinger equation such as conservation of mass and convergence of its linear flow as time tends to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07147 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recent Results On The Modulated Cubic Nonlinear Schrödinger Equation On $\mathbb{T}^2$ Messing, Josh Analysis of PDEs Probability New Strichartz estimates for the modulated cubic nonlinear Schrödinger equation are proved. These Strichartz estimates allow us to show that this equation is pathwise locally well-posed. We also show that improved Strichartz estimates are available in the case where the modulation is white noise. Additionally, we comment on a few basic properties of the modulated cubic nonlinear Schrödinger equation such as conservation of mass and convergence of its linear flow as time tends to zero. |
| title | Recent Results On The Modulated Cubic Nonlinear Schrödinger Equation On $\mathbb{T}^2$ |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2512.07147 |