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New Qualitative and Quantitative Estimates for Neumann Eigenvalues toward Pólya's Conjecture

He, Xiang et al.
arXiv (All) · Papers
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spectral-theory
We introduce the Enhanced Neumann Pólya inequality, which is stronger than Pólya's conjecture, and verify it for many classes of domains, including strip-tiling domains, Euclidean balls, thin product domains, and certain higher-dimensional tiling domains. We develop a geometric removal approach for
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