The BMS conjecture

2017/09/21 by Batu Güneysu, Güneysu, Batu
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1709.07463

openalex publication_date 2017/09/21 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28

Abstract

I explain an open conjecture by Braverman/Milatovic/Shubin (BMS) on the positivity of square integrable solutions f of (-Δ+1)f≥ 0 on a geodescially complete Riemannian manifold, and its connection to essential self-adjointness problems of covariant Schrödinger operators. The latter conjecture has remained open for more than 14 years now.

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