Abstract
Our goal is to calculate the limit spectrum of the Hodge-de Rham operator under the perturbation of collapsing one part of a manifold obtained by gluing together two manifolds with the same boundary. It appears to take place in the general problem of blowing up conical singularities as introduced by Mazzeo and Rowlett.
| Original language | English |
|---|---|
| Pages (from-to) | 1025-1050 |
| Number of pages | 26 |
| Journal | Analysis and PDE |
| Volume | 8 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2015 |
Keywords
- Collapsing of riemannian manifolds
- Conical singularity
- Differential form
- Eigenvalue
- Elliptic boundary value problem
- Hodge-de Rham operator
- Laplacian
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Applied Mathematics