论文信息 - On Lp Estimates in Homogenization of Elliptic Equations of Maxwell's Type

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

Abstract For a family of second-order elliptic systems of Maxwellʼs type with rapidly oscillating periodic coefficients in a C 1 , α domain Ω, we establish uniform estimates of solutions u e and ∇ × u e in L p ( Ω ) for 1 p ⩽ ∞ . The proof relies on the uniform W 1 , p and Lipschitz estimates for solutions of scalar elliptic equations with periodic coefficients.

Zhongwei Shen | Liang Song | Zhongwei Shen | Liang Song

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