An uniqueness result with some density theorems with interior transmission eigenvalues

作者：Chen Lung Hui^*

来源：APPLICABLE ANALYSIS, 2015, 94(8): 1527-1544.

DOI：10.1080/00036811.2014.936403

• interior transmission eigenvalues
• Cartwright's theory
• indicator function
• Carlson's theorem
• Wilder's theorem
• 34B24
• 35R30
• 35P25

Given a set of transmission eigenvalues, we apply Cartwright's theory to show the density function inversely determines the indicator function. This indicator function gives a Weyl's type of asymptotics on the transmission eigenvalues. The inverse uniqueness problem on the refraction index is reduced to identifying a parameter of an entire function. We use a Carlson's type of theorem to prove the uniqueness as in entire function theory. Taking advantage of the uniqueness of rod density problem, we prove an uniqueness result with interior transmission eigenvalues.

• 出版日期2015-8-3