On the energy scaling behaviour of a singularly perturbed Tartar square

In this article we derive an (almost) optimal scaling law for a singular perturbation problem associated with the Tartar square. As in Winter (Eur J Appl Math 8(2):185-207, 1997), Chipot (Numer Math 83(3):325-352, 1999), our upper bound quantifies the well-known construction which is used in the lite...

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Bibliographic Details
Main Authors: Rüland, Angkana (Author) , Tribuzio, Antonio (Author)
Format: Article (Journal)
Language:English
Published: 2022
In: Archive for rational mechanics and analysis
Year: 2022, Volume: 243, Issue: 1, Pages: 401-431
ISSN:1432-0673
DOI:10.1007/s00205-021-01729-1
Online Access:Resolving-System, kostenfrei, Volltext: https://doi.org/10.1007/s00205-021-01729-1
Verlag, kostenfrei, Volltext: https://link.springer.com/10.1007/s00205-021-01729-1
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Author Notes:Angkana Rüland & Antonio Tribuzio
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On the energy scaling behaviour of a singularly perturbed tartar square by Rüland, Angkana (Author) , Tribuzio, Antonio (Author) ,


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