The heat kernel on curvilinear polygonal domains in surfaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866916662357262336 |
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| author | Nursultanov, Medet Rowlett, Julie Sher, David A. |
| author_facet | Nursultanov, Medet Rowlett, Julie Sher, David A. |
| contents | We construct the heat kernel on curvilinear polygonal domains in arbitrary surfaces for Dirichlet, Neumann, and Robin boundary conditions as well as mixed problems, including those of Zaremba type. We compute the short time asymptotic expansion of the heat trace and apply this expansion to demonstrate a collection of results showing that corners are spectral invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_00259 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The heat kernel on curvilinear polygonal domains in surfaces Nursultanov, Medet Rowlett, Julie Sher, David A. Analysis of PDEs Spectral Theory 58J35, 35K08, 58J53, 58J50 We construct the heat kernel on curvilinear polygonal domains in arbitrary surfaces for Dirichlet, Neumann, and Robin boundary conditions as well as mixed problems, including those of Zaremba type. We compute the short time asymptotic expansion of the heat trace and apply this expansion to demonstrate a collection of results showing that corners are spectral invariants. |
| title | The heat kernel on curvilinear polygonal domains in surfaces |
| topic | Analysis of PDEs Spectral Theory 58J35, 35K08, 58J53, 58J50 |
| url | https://arxiv.org/abs/1905.00259 |