Continuity of Weighted Dirac Spectra

Zixuan Qiu; Ruijun Wu

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arXiv · 2604.02195

Continuity of Weighted Dirac Spectra

Zixuan Qiu·Ruijun Wu

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Abstract

For the weighted Dirac eigenvalue problem, we show that the two-sided weighted spectrum depends continuously on the weight under continuous deformations within a uniformly elliptic class. Moreover, for differentiable families of weights we obtain a quantitative Lipschitz estimate for the full spectrum in the arsinh--metric, based on a weighted Hellmann--Feynman variational identity.

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Zixuan Qiu, Ruijun Wu. 2026-04-02. Continuity of Weighted Dirac Spectra. https://arxiv.org/abs/2604.02195

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