On Korn-Maxwell-Sobolev inequalities
Abstract
We establish a family of inequalities that allow one to estimate the Lq-norm of a matrix-valued field by the Lq-norm of an elliptic part and the Lp-norm of the matrix-valued curl. This particularly extends previous work by Neff et al. and, as a main novelty, is applicable in the regime p = 1.
source:https://www.sciencedirect.com/science/article/pii/S0022247X2100305X?via%3Dihub
Journal
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- Journal of Mathematical Analysis and Applications
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Journal of Mathematical Analysis and Applications 502 (1), 125226-, 2021-04-02
Elsevier Inc.
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Keywords
Details 詳細情報について
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- CRID
- 1050570543438770688
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- NII Article ID
- 120007126743
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- ISSN
- 0022247X
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- Web Site
- http://id.nii.ac.jp/1394/00001956/
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles