On the spectral theory of sign-changing Laplace operators

Yves Colin de Verdière

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arXiv · 2502.03838

On the spectral theory of sign-changing Laplace operators

Yves Colin de Verdière

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Abstract

We study spectral theory of sign-changing Laplace operators using semi-classical Dirichlet-to-Neumann maps. We prove the existence of modesconcentrated on the interface and describe an effective semi-classical equation for them.

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Yves Colin de Verdière. 2025-02-06. On the spectral theory of sign-changing Laplace operators. https://arxiv.org/abs/2502.03838

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