Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.19188 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916188528836608 |
|---|---|
| author | Wu, Xianchao Zhang, Lan |
| author_facet | Wu, Xianchao Zhang, Lan |
| contents | The problem of obtaining the lower bounds on the restriction of Laplacian eigenfunctions to hypersurfaces inside a compact Riemannian manifold $(M,g)$ is challenging and has been attempted by many authors \cite{BR, GRS, Jun, ET}. This paper aims to show that if $(M,g)$ is assumed to be a negatively curved surface then one can get the corresponding restricted lower bounds, as well as quantitative improvement of restricted bounds for Neumann data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19188 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonexistence of invariant nodal line and improved $L^2$ restriction bounds for Neumann data on negatively curved surface Wu, Xianchao Zhang, Lan Analysis of PDEs Spectral Theory The problem of obtaining the lower bounds on the restriction of Laplacian eigenfunctions to hypersurfaces inside a compact Riemannian manifold $(M,g)$ is challenging and has been attempted by many authors \cite{BR, GRS, Jun, ET}. This paper aims to show that if $(M,g)$ is assumed to be a negatively curved surface then one can get the corresponding restricted lower bounds, as well as quantitative improvement of restricted bounds for Neumann data. |
| title | Nonexistence of invariant nodal line and improved $L^2$ restriction bounds for Neumann data on negatively curved surface |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2403.19188 |