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On the linearized system of elasticity in the half-space.
- Source :
- AIMS Mathematics (2473-6988); Aug2022, Vol. 7 Issue 8, p14991-15001, 11p
- Publication Year :
- 2022
-
Abstract
- The purpose of this paper is twofold. The first goal is to provide a simple and constructive proof of Korn inequalities in half-space with weighted norms. The proof leads to explicit values of the constants. The second objective is to use these inequalities to show that the linear elasticity system in half-space admits a coercive variational formulation. This formulation corresponds to the physical case in which the solution is evanescent at infinity. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 7
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 158224418
- Full Text :
- https://doi.org/10.3934/math.2022821