- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Minimal $k$-partition for the $p$-norm of the eigenvalues
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Minimal $k$-partition for the $p$-norm of the eigenvalues Bonnaillie-Noël, Virginie
Description
In this talk,we analyze the connections between the nodal domains of the
eigenfunctions of the Dirichlet-Laplacian and the partitions of the domain
by $ k$ open sets $D_i$ which are minimal in the sense that the maximum
over the $D_i$'s of the groundstate energy of the Dirichlet realization of
the Laplacian is minimal. Instead of considering the maximum among the
first eigenvalues, we can also consider the $p$-norm of the vector composed
by the first eigenvalues of each subdomain.
Item Metadata
| Title |
Minimal $k$-partition for the $p$-norm of the eigenvalues
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2018-07-03T10:21
|
| Description |
In this talk,we analyze the connections between the nodal domains of the
eigenfunctions of the Dirichlet-Laplacian and the partitions of the domain
by $ k$ open sets $D_i$ which are minimal in the sense that the maximum
over the $D_i$'s of the groundstate energy of the Dirichlet realization of
the Laplacian is minimal. Instead of considering the maximum among the
first eigenvalues, we can also consider the $p$-norm of the vector composed
by the first eigenvalues of each subdomain.
|
| Extent |
46.0
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: CNRS, École normale supérieure
|
| Series | |
| Date Available |
2019-03-19
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0377216
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International