On a Babuška Paradox for Polyharmonic Operators: Spectral Stability and Boundary Homogenization for Intermediate Problems

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

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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:

17 Feb 2020 15:35

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

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