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Boundary estimates in homogenization of systems of elasticity on Lipschitz domains: Lp theory.
- Source :
-
Journal of Differential Equations . Feb2018, Vol. 264 Issue 4, p2737-2760. 24p. - Publication Year :
- 2018
-
Abstract
- The primary purpose of this paper is to investigate a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients, arising in the theory of homogenization in Lipschitz domains. As a consequence, for d ≥ 4 , we prove that the L p Neumann and L p Dirichlet boundary value problems for systems of second order linear elasticity are uniquely solvable for 2 ( d − 1 ) d + 1 − δ < p < 2 + δ and 2 − δ < p < 2 ( d − 1 ) d − 3 + δ respectively. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 264
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 127981719
- Full Text :
- https://doi.org/10.1016/j.jde.2017.11.003