Positivity of the ∂-Neumann Laplacian

2010/06/21 by Siqi Fu, Fu, Siqi
Computer Science · Mathematics · #32W05 #Advanced Mathematical Modeling in Engineering #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1006.4167

openalex publication_date 2010/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the ∂-Neumann Laplacian from spectral theoretic perspectives. In particular, we show how pseudoconvexity of a bounded domain is characterized by positivity of the ∂-Neumann Laplacian.

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