Hölder Estimates for the Homogenization of a Curl–Div System Related to Maxwell’s Equations With VMO Coefficients

Zhihong Chen

Journal of Mathematics, 2026, vol. 2026, 1-8

Abstract: In this paper, we consider the curl–div system: ∇×Ax/ε∇×uε=∇×f and ∇⋅uε=0 with rapidly oscillating periodic coefficients. This system is related to Maxwell’s equations and has a structure different from that of general elliptic systems. Under VMO coefficients, we establish the uniform interior Hölder estimates and local boundary Hölder estimates for uε. All estimates for uε are independent of ε.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4622183

DOI: 10.1155/jom/4622183

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