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Homogenization in perforated domains and interior Lipschitz estimates.
- Source :
-
Journal of Differential Equations . Sep2017, Vol. 263 Issue 6, p3396-3418. 23p. - Publication Year :
- 2017
-
Abstract
- We establish interior Lipschitz estimates at the macroscopic scale for solutions to systems of linear elasticity with rapidly oscillating periodic coefficients and mixed boundary conditions in domains periodically perforated at a microscopic scale ε by establishing H 1 -convergence rates for such solutions. The interior estimates are derived directly without the use of compactness via an argument presented in [3] that was adapted for elliptic equations in [2] and [11] . As a consequence, we derive a Liouville type estimate for solutions to the systems of linear elasticity in unbounded periodically perforated domains. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 263
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 123443012
- Full Text :
- https://doi.org/10.1016/j.jde.2017.04.028