About this document
Eigenvalue Bounds for Hodge Laplacian by goniha7415 is a document available to read on EtoBox.
The document establishes geometric lower bounds for the smallest positive eigenvalue of the Hodge Laplacian in non-convex domains, specifically Euclidean annular regions with convex outer boundaries and spherical inner boundaries. It extends these bounds to convex domains with multiple holes and provides a general lower bound for the smallest exact eigenvalue on compact manifolds with boundary, emphasizing the importance of the contact radius in these results. The proofs utilize local-to-global arguments an
- Author
- goniha7415
- Language
- EN