The Gross-Pitaewskii equation with time and space dependent coefficients
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917066608476160 |
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| author | Lai, Federico |
| author_facet | Lai, Federico |
| contents | We study the existence of weak solutions of a generalized Gross-Pitaewskii equation, with time and space dependent coefficients that could blow up or vanish asymptotically in time, with initial data not necessarily segregated. We also study the asymptotic behavior in time of these solutions, including cases in which the segregation phenomenon appears. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06001 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Gross-Pitaewskii equation with time and space dependent coefficients Lai, Federico Analysis of PDEs We study the existence of weak solutions of a generalized Gross-Pitaewskii equation, with time and space dependent coefficients that could blow up or vanish asymptotically in time, with initial data not necessarily segregated. We also study the asymptotic behavior in time of these solutions, including cases in which the segregation phenomenon appears. |
| title | The Gross-Pitaewskii equation with time and space dependent coefficients |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.06001 |