On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10440-023-00557-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7632 |
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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 |
8.893527 |