On the Polynomial and Exponential Decay of Eigen-Forms of Generalized   Time-Harmonic Maxwell Problems
  We prove polynomial and exponential decay at infinity of eigen-vectors of partial differential operators related to radiation problems for time-harmonic generalized Maxwell systems in an exterior domain with non-smooth inhomogeneous, anisotropic coefficients converging near infinity with a certain rate towards the identity. As a canonical application we show that the corresponding eigen-values do not accumulate in R \ {0} and that by means of Eidus' limiting absorption principle a Fredholm alternative holds true. 
Dirk Pauly
math.AP math-ph math.DG math.MP