Resumen
This paper is concerned with a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients, arising in the theory of homogenization. We establish uniform optimal regularity estimates for solutions of Neumann problems in a bounded Lipschitz domain with L2 boundary data. The proof relies on a boundary Korn inequality for solutions of systems of linear elasticity and uses a large-scale Rellich estimate obtained in Shen (Anal PDE, arXiv:1505.00694v2).
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 1205-1236 |
| Número de páginas | 32 |
| Publicación | Archive for Rational Mechanics and Analysis |
| Volumen | 224 |
| N.º | 3 |
| DOI | |
| Estado | Published - jun 1 2017 |
Nota bibliográfica
Publisher Copyright:© 2017, Springer-Verlag Berlin Heidelberg.
Financiación
J. Geng: Supported in part by the NNSF of China (No. 11571152) and Fundamental Research Funds for the Central Universities (2017.01-2018.06). L. Song: Supported in part by the NNSF of China (Nos. 11471338 and 11622113) and Guangdong Natural Science Funds for Distinguished Young Scholar (No. 2016A030306040). Z. Shen: Supported in part by NSF Grant DMS-1600520.
| Financiadores | Número del financiador |
|---|---|
| Guangdong Natural Science Funds for Distinguished Young Scholar | 2016A030306040 |
| National Science Foundation (NSF) | DMS-1600520 |
| National Natural Science Foundation of China (NSFC) | 11622113, 11571152, 11471338 |
| Fundamental Research Funds for the Central Universities | 2017.01-2018.06 |
ASJC Scopus subject areas
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering
Huella
Profundice en los temas de investigación de 'Boundary Korn Inequality and Neumann Problems in Homogenization of Systems of Elasticity'. En conjunto forman una huella única.Citar esto
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