Ferraresso, Francesco; Lamberti, Pier Domenico (2019). On a Babuška Paradox for Polyharmonic Operators: Spectral Stability and Boundary Homogenization for Intermediate Problems. Integral equations and operator theory, 91(6) Springer 10.1007/s00020-019-2552-0
|
Text
Ferraresso-Lamberti2019_Article_OnABabuškaParadoxForPolyharmon.pdf - Published Version Available under License Publisher holds Copyright. Download (857kB) | Preview |
|
|
Text
1911.10965.pdf - Accepted Version Available under License Publisher holds Copyright. Download (1MB) | Preview |
We analyse the spectral convergence of high order elliptic differential operators subject to singular domain perturbations and homogeneous boundary conditions of intermediate type. We identify sharp assumptions on the domain perturbations improving, in the case of polyharmonic operators of higher order, conditions known to be sharp in the case of fourth order operators. The optimality is proved by analysing in detail a boundary homogenization problem, which provides a smooth version of a polyharmonic Babuška paradox.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Ferraresso, Francesco |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0378-620X |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Michel Arthur Bik |
Date Deposited: |
17 Feb 2020 15:35 |
Last Modified: |
23 Nov 2023 00:25 |
Publisher DOI: |
10.1007/s00020-019-2552-0 |
ArXiv ID: |
1911.10965 |
BORIS DOI: |
10.7892/boris.139940 |
URI: |
https://boris.unibe.ch/id/eprint/139940 |
Actions (login required)
 |
Edit item |