The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in Euclidean space does not always remain unaltered during the flex - Доклады на конференциях | Sciact - Система учета научной деятельности ИМ СО РАН

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

Язык

Английский

Тип доклада

Пленарный

Url доклада

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

Конференция

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

Авторы

Alexandrov Victor ^1,2

Организации

1	Институт математики им. С.Л. Соболева СО РАН
2	Новосибирский государственный университет

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