Heat Kernel Estimates for Schrödinger Operators in the Domain Above a Bounded Lipschitz Function
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915096241897472 |
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| author | Graves-McCleary, Anthony |
| author_facet | Graves-McCleary, Anthony |
| contents | We give matching upper and lower bounds for the Dirichlet heat kernel of a Schrödinger operator $Δ+W$ in the domain above the graph of a bounded Lipschitz function, in the case when $W$ decays away from the boundary faster than quadratically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05641 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Heat Kernel Estimates for Schrödinger Operators in the Domain Above a Bounded Lipschitz Function Graves-McCleary, Anthony Analysis of PDEs Probability 35K08, 35J10 (Primary) 31B05, 60J65 (Secondary) We give matching upper and lower bounds for the Dirichlet heat kernel of a Schrödinger operator $Δ+W$ in the domain above the graph of a bounded Lipschitz function, in the case when $W$ decays away from the boundary faster than quadratically. |
| title | Heat Kernel Estimates for Schrödinger Operators in the Domain Above a Bounded Lipschitz Function |
| topic | Analysis of PDEs Probability 35K08, 35J10 (Primary) 31B05, 60J65 (Secondary) |
| url | https://arxiv.org/abs/2501.05641 |