Energy scattering for the unsteady damped nonlinear Schrodinger equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917916518121472 |
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| author | Hamouda, Makram Majdoub, Mohamed |
| author_facet | Hamouda, Makram Majdoub, Mohamed |
| contents | We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non classical assumptions on the unsteady damping term, we prove some scattering results in the energy space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_14980 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Energy scattering for the unsteady damped nonlinear Schrodinger equation Hamouda, Makram Majdoub, Mohamed Analysis of PDEs Mathematical Physics We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non classical assumptions on the unsteady damping term, we prove some scattering results in the energy space. |
| title | Energy scattering for the unsteady damped nonlinear Schrodinger equation |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2311.14980 |