The asymptotic behavior of quasi-harmonic functions and eigenfunctions of the drift Laplacian

2020/01/04 by Min Chen, Jiayu Li, Chen, Min +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2001.01023

openalex publication_date 2020/01/04 · openalex created_date 2020/01/10 · openalex updated_date 2026/07/28

Abstract

The metric is quite singular at infinity and it is not complete. Using these expansions, we have a more precise description of the asymptotic behavior of quasi-harmonic functions and of eigenfunctions of drift-Laplacian at infinity.

Citations

• Differential equations on riemannian manifolds and their geometric applications

Related

• Eigenfunctions for quasi-laplacian
• Asymptotic structure of almost eigenfunctions of drift Laplacians on conical ends
• Uniqueness of solutions, radiation conditions, and complexity of the metric at infinity
• Drift-harmonic functions with polynomial growth on asymptotically paraboloidal manifolds
• Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space