Conservativeness of time changed processes and Liouville property for Schrödinger operators
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914334240669696 |
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| author | Shiozawa, Yuichi Takeda, Masayoshi |
| author_facet | Shiozawa, Yuichi Takeda, Masayoshi |
| contents | We establish a criterion for the Liouville property for Schrödinger operators via the conservativeness of time changed processes. Using this criterion, we obtain necessary and sufficient conditions for the Liouville property for some Schrödinger operators in terms of the decay rates of the potentials at infinity/boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15411 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conservativeness of time changed processes and Liouville property for Schrödinger operators Shiozawa, Yuichi Takeda, Masayoshi Probability We establish a criterion for the Liouville property for Schrödinger operators via the conservativeness of time changed processes. Using this criterion, we obtain necessary and sufficient conditions for the Liouville property for some Schrödinger operators in terms of the decay rates of the potentials at infinity/boundary. |
| title | Conservativeness of time changed processes and Liouville property for Schrödinger operators |
| topic | Probability |
| url | https://arxiv.org/abs/2602.15411 |