On the regularity of Dirac eigenfunctions

2023/09/29 by Tuyen Vu, Vu, Tuyen · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2309.17208

openalex publication_date 2023/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The article provides proofs for the regularity of Dirac eigenfunctions, subject to MIT boundary conditions employed on various types of open sets ranging from smooth ones to convex polygons in two dimensions, as well as on half-space and smooth bounded domains in three-dimensional space.

Cited by

• MIT bag in non-smooth convex domains

Related

• Estimates for Dirichlet Eigenfunctions
• Extrinsic eigenvalue estimates for Dirac operator
• Regularity at the free boundary for Dirac-harmonic maps from surfaces
• Remarks on the spectrum of the Dirac operator
• Boundary partial regularity for a class of Dirac-harmonic maps