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arXiv · 1512.05580

Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations

Andoni García·Esa V. Vesalainen·Miren Zubeldia
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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 neighbourhood of the boundary of the underlying domain. The zeroeth order term must satisfy a suitable coercivity condition in a neighbourhood of the boundary.

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Andoni García, Esa V. Vesalainen, Miren Zubeldia. 2015-12-17. Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations. https://arxiv.org/abs/1512.05580

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