Uniform local Lipschitz continuity of eigenvalues with respect to the potential in $L^1[a,b]$

Xiao Chen; Jiangang Qi

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arXiv · 1908.05527

Uniform local Lipschitz continuity of eigenvalues with respect to the potential in $L^1[a,b]$

Xiao Chen·Jiangang Qi

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Abstract

The present paper shows that the eigenvalue sequence $\{\lambda_n(q)\}_{n\geqslant 1}$ of regular Sturm-Liouville eigenvalue problem with certain monotonic weights is uniformly Lipschitz continuous with respect to the potential $q$ on any bounded subset of $L^1([a,b],\mathbb{R})$.

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BibTeX RIS

Xiao Chen, Jiangang Qi. 2019-08-15. Uniform local Lipschitz continuity of eigenvalues with respect to the potential in $L^1[a,b]$. https://arxiv.org/abs/1908.05527

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