Item Infomation
Title: | On Scaling Properties for Two-State Problems and for a Singularly Perturbed T3 Structure |
Authors: | Bogdan, Raiţă Angkana, Rüland Camillo, Tissot |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | 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 |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s10440-023-00557-7 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7632 |
Appears in Collections | OER - Khoa học Tự nhiên |
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