Spectral invariants of the Dirichlet-to-Neumann map associated to the Witten-Laplacian with potential
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915100848291840 |
|---|---|
| author | Tan, Xiaoming |
| author_facet | Tan, Xiaoming |
| contents | For a compact connected Riemannian manifold with smooth boundary, we establish an effective procedure, by which we can calculate all the coefficients of the spectral asymptotic formula of the Dirichlet-to-Neumann map associated to the Witten-Laplacian with potential. In particular, by computing the full symbol of the Dirichlet-to-Neumann map we explicitly give the first four coefficients. They are spectral invariants, which provide precise information concerning the volume, curvatures, drifting function and potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07156 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral invariants of the Dirichlet-to-Neumann map associated to the Witten-Laplacian with potential Tan, Xiaoming Differential Geometry Analysis of PDEs Spectral Theory For a compact connected Riemannian manifold with smooth boundary, we establish an effective procedure, by which we can calculate all the coefficients of the spectral asymptotic formula of the Dirichlet-to-Neumann map associated to the Witten-Laplacian with potential. In particular, by computing the full symbol of the Dirichlet-to-Neumann map we explicitly give the first four coefficients. They are spectral invariants, which provide precise information concerning the volume, curvatures, drifting function and potential. |
| title | Spectral invariants of the Dirichlet-to-Neumann map associated to the Witten-Laplacian with potential |
| topic | Differential Geometry Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2501.07156 |