A uniqueness theorem on the eigenvalues of spherically symmetric interior transmission problem in absorbing medium

作者：Chen Lung Hui^*

来源：Complex Variables and Elliptic Equations, 2015, 60(2): 145-167.

DOI：10.1080/17476933.2014.900055

• 35R30
• 35P25
• 34B24
• spectral perturbation
• inverse problem
• absorbing media
• almost periodic function
• transmission eigenvalue
• Cartwright theory

We study the asymptotic distribution of the eigenvalues of interior transmission problem in absorbing medium. We apply Cartwright's theory and the technique from entire function theory to find a Weyl's type of density theorem in absorbing medium. Given a sufficient quantity of transmission eigenvalues, we obtain limited uniqueness on the refraction index as a uniqueness problem in entire function theory.

• 出版日期2015-2-1