For a family of second-order elliptic systems of Maxwell's type with rapidly oscillating periodic coefficients in a C1,α domain Ω, we establish uniform estimates of solutions uε and ∇; × uε in L p(Ω) for 1 < p ≤ ∞ The proof relies on the uniform W1,p and Lipschitz estimates for solutions of scalar elliptic equations with periodic coefficients.
|Number of pages||15|
|Journal||Advances in Mathematics|
|State||Published - Feb 15 2014|
- Maxwell's equations
ASJC Scopus subject areas
- Mathematics (all)