Genuinely sharp estimates for heat kernels on Weyl chambers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909280739786752 |
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| author | Stempak, Krzysztof |
| author_facet | Stempak, Krzysztof |
| contents | We consider heat kernels on Weyl chambers corresponding to Laplacians subject to mixed Dirichlet-Neumann boundary conditions imposed on the boundary. Using purely analytic tools we prove genuinely sharp two-sided global estimates in the frameworks of orthogonal root systems and the dihedral root systems $I_2(3)$ and $I_2(4)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03957 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Genuinely sharp estimates for heat kernels on Weyl chambers Stempak, Krzysztof Analysis of PDEs Functional Analysis Primary 35K08, Secondary 58J35 We consider heat kernels on Weyl chambers corresponding to Laplacians subject to mixed Dirichlet-Neumann boundary conditions imposed on the boundary. Using purely analytic tools we prove genuinely sharp two-sided global estimates in the frameworks of orthogonal root systems and the dihedral root systems $I_2(3)$ and $I_2(4)$. |
| title | Genuinely sharp estimates for heat kernels on Weyl chambers |
| topic | Analysis of PDEs Functional Analysis Primary 35K08, Secondary 58J35 |
| url | https://arxiv.org/abs/2401.03957 |