Periodic Homogenization of Elliptic Systems

• Main Author: Shen, Zhongwei (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Advances in Partial Differential Equations, 269
• Subjects: Partial differential equations.; Probabilities.; Partial Differential Equations.; Probability Theory and Stochastic Processes.

This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of co...

Table of Contents:

• Elliptic Systems of Second Order with Periodic Coeffcients
• Convergence Rates, Part I
• Interior Estimates
• Regularity for Dirichlet Problem
• Regularity for Neumann Problem
• Convergence Rates, Part II
• L2 Estimates in Lipschitz Domains.