The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in Euclidean space does not always remain unaltered during the flex - Conference attendances

The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in Euclidean space does not always remain unaltered during the flex Conference attendances

Language

Английский

Participant type

Пленарный

URL

https://icerm.brown.edu/topical_workshops/tw-20-cpgr/#applications

Conference

Circle Packings and Geometric Rigidity
06-10 Jul 2020 , ICERM, Providence

Authors

Alexandrov Victor ^1,2

Affiliations

1	Sobolev Institute of Mathematics
2	Novosibirsk State University

We study the Dirichlet and Neumann eigenvalues for the Laplace operator in bounded domains of Euclidean d-space whose boundary is a flexible polyhedron. The main result is that both the Dirichlet and Neumann spectra of the Laplace operator in such a domain do not necessarily remain unaltered during the flex of its boundary.

Alexandrov V.
The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in Euclidean space does not always remain unaltered during the flex
Circle Packings and Geometric Rigidity 06-10 Jul 2020