Quantitative uniqueness of continuation for the Schrödinger equation : explicit dependence on the potential
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916683303616512 |
|---|---|
| author | Choulli, Mourad Takase, Hiroshi |
| author_facet | Choulli, Mourad Takase, Hiroshi |
| contents | We demonstrate a quantitative version of the usual properties related to unique continuation from an interior datum for the Schrödinger equation with bounded or unbounded potential. The inequalities we establish have constants that explicitly depend on the potential. We also indicate how the above-mentioned inequalities can be extended to elliptic equations with bounded or unbounded first-order derivatives. The case of unique continuation from Cauchy data is also considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07533 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative uniqueness of continuation for the Schrödinger equation : explicit dependence on the potential Choulli, Mourad Takase, Hiroshi Analysis of PDEs 35B60, 35J15, 35R25 We demonstrate a quantitative version of the usual properties related to unique continuation from an interior datum for the Schrödinger equation with bounded or unbounded potential. The inequalities we establish have constants that explicitly depend on the potential. We also indicate how the above-mentioned inequalities can be extended to elliptic equations with bounded or unbounded first-order derivatives. The case of unique continuation from Cauchy data is also considered. |
| title | Quantitative uniqueness of continuation for the Schrödinger equation : explicit dependence on the potential |
| topic | Analysis of PDEs 35B60, 35J15, 35R25 |
| url | https://arxiv.org/abs/2504.07533 |