Uniform Estimates of Resolvents in Homogenization Theory of Elliptic Systems

2022/11/26 by W. Wang, Wang, Wei
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Composite Material Mechanics

paper · pdf · doi:10.48550/arxiv.2211.14614

Abstract

In this paper, we study the estimates of resolvents R(λ,L_ε)=(L_ε-λI)^-1 , where L_ε=-div(A(x/ε)∇) is a family of second elliptic operators with symmetric, periodic and oscillating coefficients defined on a bounded domain Ω with ε>0 . For 1

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