On Lp Estimates in Homogenization of Elliptic Equations of Maxwell's Type

2012/10/27 by Zhongwei Shen, Shen, Zhongwei, Liang Song +1
Computer Science · Engineering · Mathematics · #35J47 #35J55 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1210.7340

openalex publication_date 2012/10/27 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

For a family of second-order elliptic systems of Maxwell's type with rapidly oscillating periodic coefficients in a C^{1, α} domain Ω, we establish uniform estimates of solutions u_\varep and ∇ × u_\varep in L^p(Ω) for 1

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