The time dependent Maxwell system with measurable coefficients in Lipschitz domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:452

Article

Stachura, Eric¹ 

[1] Haverford Coll, Dept Math & Stat, Haverford, PA 19041 USA

关键词: Maxwell system;    Sobolev spaces;    Lipschitz domains;    Anisotropy;   

DOI  :  10.1016/j.jmaa.2017.03.052

来源: Elsevier

【 摘 要 】

Semigroup theory is employed to study inhomogeneous boundary conditions for the time-dependent Maxwell equations with anisotropic material parameters in a non-smooth domain. Only boundedness and measurability of the coefficients are assumed, and the boundary data is assumed to be time independent. When the material parameters are positive definite, a higher order Sobolev theory is developed for the time-dependent Maxwell system. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free