Sharp Gaussian upper bounds for Schrödinger semigroups on the half-line
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866912114490212352 |
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| author | Holst, Paul Vogt, Hendrik |
| author_facet | Holst, Paul Vogt, Hendrik |
| contents | In 1998, V. Liskevich and Y. Semenov showed sharp Gaussian upper bounds for Schrödinger semigroups on $\mathbb R^3$ with potentials satisfying a global Kato class condition. Using similar basic ideas we show sharp Gaussian upper bounds for Schrödinger semigroups on the half-line, also assuming a suitable global Kato class condition. Our proof strategy includes a new technique of weighted ultracontractivity estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12211 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sharp Gaussian upper bounds for Schrödinger semigroups on the half-line Holst, Paul Vogt, Hendrik Functional Analysis Analysis of PDEs 35J10, 35K08, 47A55, 47D06 In 1998, V. Liskevich and Y. Semenov showed sharp Gaussian upper bounds for Schrödinger semigroups on $\mathbb R^3$ with potentials satisfying a global Kato class condition. Using similar basic ideas we show sharp Gaussian upper bounds for Schrödinger semigroups on the half-line, also assuming a suitable global Kato class condition. Our proof strategy includes a new technique of weighted ultracontractivity estimates. |
| title | Sharp Gaussian upper bounds for Schrödinger semigroups on the half-line |
| topic | Functional Analysis Analysis of PDEs 35J10, 35K08, 47A55, 47D06 |
| url | https://arxiv.org/abs/2209.12211 |