Small and large data scattering for the dispersion-managed NLS
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916325740249088 |
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| author | Kawakami, Jumpei Murphy, Jason |
| author_facet | Kawakami, Jumpei Murphy, Jason |
| contents | We prove several scattering results for dispersion-managed nonlinear Schrödinger equations. In particular, we establish small-data scattering for both `intercritical' and `mass-subcritical' powers by suitable modifications of the standard approach via Strichartz estimates. In addition, we prove scattering for arbitrary data in a weighted Sobolev space for intercritical powers by establishing a pseudoconformal energy estimate. We also rule out (unmodified) scattering for sufficiently low powers. Finally, we give some remarks concerning blowup for the focusing equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11151 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Small and large data scattering for the dispersion-managed NLS Kawakami, Jumpei Murphy, Jason Analysis of PDEs We prove several scattering results for dispersion-managed nonlinear Schrödinger equations. In particular, we establish small-data scattering for both `intercritical' and `mass-subcritical' powers by suitable modifications of the standard approach via Strichartz estimates. In addition, we prove scattering for arbitrary data in a weighted Sobolev space for intercritical powers by establishing a pseudoconformal energy estimate. We also rule out (unmodified) scattering for sufficiently low powers. Finally, we give some remarks concerning blowup for the focusing equation. |
| title | Small and large data scattering for the dispersion-managed NLS |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.11151 |