The transmission eigenvalue problem is a type of non-elliptic and non-selfadjoint spectral that arises in the wave scattering theory when invisibility/transparency occurs. eigenfunctions are interior resonant modes inside medium. We concerned with geometric rigidity show they concentrate on boundary surface underlying domain two senses. This substantiates recent numerical discovery Chow et al. ...

Vibrations and waves play a major role in many fields of physics and of engineering, whether they are of acoustic, mechanical, optical or quantum nature. In many cases, the understanding of a vibrational system can be brought back to its spectral properties, i.e. the properties of the eigenvalues and eigenfunctions of the related wave operator. In disordered systems or in complex geometry, thes...