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On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure

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Bibliographic Details
Main Authors: Bogdan, Raiţă, Angkana, Rüland, Camillo, Tissot
Format: Book
Language:English
Published: Springer 2023
Subjects:
perturbed T3 structure
typical ϵ23-lower scaling bounds
Online Access:https://link.springer.com/article/10.1007/s10440-023-00557-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7632
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spelling oai:localhost:PNK-76322023-04-06T04:16:29Z On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure Bogdan, Raiţă Angkana, Rüland Camillo, Tissot perturbed T3 structure typical ϵ23-lower scaling bounds CC BY In this article we study quantitative rigidity properties for the compatible and incompatible two-state problems for suitable classes of A-free differential inclusions and for a singularly perturbed T3 structure for the divergence operator. In particular, in the compatible setting of the two-state problem we prove that all homogeneous, first order, linear operators with affine boundary data which enforce oscillations yield the typical ϵ23-lower scaling bounds. As observed in Chan and Conti (Math. Models Methods Appl. Sci. 25(06):1091–1124, 2015) for higher order operators this may no longer be the case. Revisiting the example from Chan and Conti 2023-04-06T04:16:29Z 2023-04-06T04:16:29Z 2023 Book https://link.springer.com/article/10.1007/s10440-023-00557-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7632 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic perturbed T3 structure
typical ϵ23-lower scaling bounds
spellingShingle perturbed T3 structure
typical ϵ23-lower scaling bounds
Bogdan, Raiţă
Angkana, Rüland
Camillo, Tissot
On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure
description CC BY
format Book
author Bogdan, Raiţă
Angkana, Rüland
Camillo, Tissot
author_facet Bogdan, Raiţă
Angkana, Rüland
Camillo, Tissot
author_sort Bogdan, Raiţă
title On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure
title_short On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure
title_full On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure
title_fullStr On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure
title_full_unstemmed On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure
title_sort on scaling properties for two-state problems and for a singularly perturbed t3 structure
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10440-023-00557-7
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7632
_version_ 1762456093462626304
score 8.891053

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