Discreteness of transmission eigenvalues for higher-order main terms and perturbations

Andoni García, Esa V. Vesalainen, Miren Zubeldia

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
110 Downloads (Pure)

Abstract

In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher-order perturbations. The coefficients of the perturbations must be sufficiently smooth and the coefficients of the higher-order terms of the perturbation must vanish in a neighborhood of the boundary of the underlying domain. The zeroth-order term must satisfy a suitable coercivity condition in a neighborhood of the boundary.

Original languageEnglish
Pages (from-to)2382-2398
Number of pages17
JournalSIAM Journal on Mathematical Analysis
Volume48
Issue number4
DOIs
Publication statusPublished - 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Higher-order main terms
  • Higher-order perturbations
  • Inverse problems
  • Transmission eigenvalues

Fingerprint Dive into the research topics of 'Discreteness of transmission eigenvalues for higher-order main terms and perturbations'. Together they form a unique fingerprint.

  • Cite this