Fractional Laplacian with supercritical killings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909129388326912 |
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| author | Cho, Soobin Song, Renming |
| author_facet | Cho, Soobin Song, Renming |
| contents | In this paper, we study Feynman-Kac semigroups of symmetric $α$-stable processes with supercritical killing potentials belonging to a large class of functions containing functions of the form $b|x|^{-β}$, where $b>0$ and $β>α$. We obtain two-sided estimates on the densities $p(t, x, y)$ of these semigroups for all $t>0$, along with estimates for the corresponding Green functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03298 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fractional Laplacian with supercritical killings Cho, Soobin Song, Renming Probability Analysis of PDEs 60G51, 60J25, 60J35, 60J76 In this paper, we study Feynman-Kac semigroups of symmetric $α$-stable processes with supercritical killing potentials belonging to a large class of functions containing functions of the form $b|x|^{-β}$, where $b>0$ and $β>α$. We obtain two-sided estimates on the densities $p(t, x, y)$ of these semigroups for all $t>0$, along with estimates for the corresponding Green functions. |
| title | Fractional Laplacian with supercritical killings |
| topic | Probability Analysis of PDEs 60G51, 60J25, 60J35, 60J76 |
| url | https://arxiv.org/abs/2403.03298 |