Boundary homogenization for a triharmonic intermediate problem

Arrieta, José M.; Ferraresso, Francesco; Lamberti, Pier Domenico (2018). Boundary homogenization for a triharmonic intermediate problem. Mathematical methods in the applied sciences, 41(3), pp. 979-985. Wiley 10.1002/mma.4025

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We consider the triharmonic operator subject to homogeneous boundary conditions of intermediate type on a bounded domain of the N‐dimensional Euclidean space. We study its spectral behaviour when the boundary of the domain undergoes a perturbation of oscillatory type. We identify the appropriate limit problems that depend on whether the strength of the oscillation is above or below a critical threshold. We analyse in detail the critical case that provides a typical homogenization problem leading to a strange boundary term in the limit problem.

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:

0170-4214

Publisher:

Wiley

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

15 May 2019 18:10

Last Modified:

25 Oct 2019 02:02

Publisher DOI:

10.1002/mma.4025

BORIS DOI:

10.7892/boris.125533

URI:

https://boris.unibe.ch/id/eprint/125533

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