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A lower bound for the gap between the first two eigenvalues of Schrödinger operators on convex domains in \(\mathbb{S}^ n\) or \(\mathbb{R}^ n\)

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Publication:1310136
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DOI10.1307/mmj/1029004752zbMath0795.35069OpenAlexW2022147065MaRDI QIDQ1310136

Jun Ling

Publication date: 2 January 1994

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029004752

zbMATH Keywords

Schrödinger operatorsplittingstrictly convex domains


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40)


Related Items

The Cauchy process and the Steklov problem, Spectral gap for stable process on convex planar double symmetric domains, Behaviour near extinction for the fast diffusion equation on bounded domains, Eigenvalue gaps for the Cauchy process and a Poincaré inequality, On the shape of the ground state eigenfunction for stable processes, On the spectral gap for fixed membranes, Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps, Spectral Gap for the Cauchy Process on Convex, Symmetric Domains



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