On solutions to $-Δu = V u$ near infinity
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916706700492800 |
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| author | Pan, Yifei Zhang, Yuan |
| author_facet | Pan, Yifei Zhang, Yuan |
| contents | We investigate the unique continuation property and the sign changing behavior of weak solutions to $-Δu =Vu$ near infinity under certain conditions on the blow-up rate of the potential $V$ near infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05242 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On solutions to $-Δu = V u$ near infinity Pan, Yifei Zhang, Yuan Analysis of PDEs Complex Variables Primary 35A02, Secondary 35B99, 32W05 We investigate the unique continuation property and the sign changing behavior of weak solutions to $-Δu =Vu$ near infinity under certain conditions on the blow-up rate of the potential $V$ near infinity. |
| title | On solutions to $-Δu = V u$ near infinity |
| topic | Analysis of PDEs Complex Variables Primary 35A02, Secondary 35B99, 32W05 |
| url | https://arxiv.org/abs/2401.05242 |