A Cheeger-type inequality for the drift Laplacian with Wentzell-type boundary condition

2025/03/20 by Bormann, Marie · 1 citation
#35A23 #58C40 #60J65 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Probability (math.PR) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2503.16093

Abstract

We prove lower bounds for the first non-trivial eigenvalue of the drift Laplacian on manifolds with Wentzell-type boundary condition in terms of some Cheeger-type constants for bulk-boundary interactions. Our results are in the spirit of Cheeger's classical inequality.

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