An Hs, (p) (curl; Omega) estimate for the Maxwell system

作者:Kar Manas*; Sini Mourad
来源:Mathematische Annalen, 2016, 364(1-2): 559-587.
DOI:10.1007/s00208-015-1225-9

摘要

We derive an H-0(s,p) (curl; Omega) estimate for the solutions of the Maxwell type equations modeled with anisotropic and W-s,W-infinity(Omega)-regular coefficients. Here, we obtain the regularity of the solutions for the integrability and smoothness indices (p, s) in a plane domain characterized by the apriori lower/upper bounds of a and the apriori upper bound of its Holder sem-norm of order s. The proof relies on a perturbation argument generalizing Groger's L-p-type estimate, known for the elliptic problems, to the Maxwell system.

  • 出版日期2016-2