Report
Spectral invariants of the Dirichlet-to-Neumann map associated to the Witten-Laplacian with potential
| العنوان: | Spectral invariants of the Dirichlet-to-Neumann map associated to the Witten-Laplacian with potential |
|---|---|
| المؤلفون: | Tan, Xiaoming |
| سنة النشر: | 2025 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Mathematics - Spectral Theory |
| الوصف: | 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. Comment: 35 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2501.07156 |
| رقم الانضمام: | edsarx.2501.07156 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |