Volume 20, Number 3, Fall 2012
AN EIGENVALUE PROBLEM FOR CURLCURL
Abstract. In this paper, we consider an eigenvalue
problem for a Curlcurl operator which arises from Maxwell's
equations. We will discuss the spectrum of the inverse operator and
the corresponding eigenspace. Particularly, we completely
characterize the eigenspace corresponding to the principal
eigen-value. Optimal regularity for eigenfunctions is also obtained.
Moreover, we present some applications of the theory.