Display Abstract

Title Superdimensional resonators modeled by Helmholtz-type equations

Name Allan Greenleaf
Country USA
Email allan@math.rochester.edu
Co-Author(s) Henrik Kettunen, Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
Submit Time 2014-02-27 09:15:19
Session
Special Session 57: Inverse problems in PDE and geometry
Contents
Weyl's well-known law describes the asymptotic distribution of eigenfrequencies. In the physical setting of resonators for polarized electromagnetic or acoustic waves, modeled by Helmholtz-type equations, we describe inhomogeneous, anisotropic media that, over certain intervals, support anomalously large numbers of eigenvalues, an effect that we call superdimensionality.