MIT bag in non-smooth convex domains

The Dirac operator with MIT bag boundary condition in a bounded convex domain is shown to be always self-adjoint in the H^{1} -setting. This allows one to show that such operators appear as limits of Dirac operators with large positive mass outside the domain. Similar results were previously known for smooth domains only.

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Publication Details

Journal
Revista Matemática Iberoamericana
Published
2026-07-24
DOI
https://doi.org/10.4171/rmi/1639
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
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article

MIT bag in non-smooth convex domains

Konstantin Pankrashkin
Revista Matemática Iberoamericana
Rings, Modules, and Algebras
article

MIT bag in non-smooth convex domains

Konstantin Pankrashkin
article en

Abstract

The Dirac operator with MIT bag boundary condition in a bounded convex domain is shown to be always self-adjoint in the H^{1} -setting. This allows one to show that such operators appear as limits of Dirac operators with large positive mass outside the domain. Similar results were previously known for smooth domains only.

Revista Matemática Iberoamericana
Carl von Ossietzky Universität Oldenburg (DE), Oldenburger Institut für Informatik (DE)
Openalex Percentile: Top 94%
Rings, Modules, and Algebras
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MIT bag in non-smooth convex domains — Konstantin Pankrashkin · Revista Matemática Iberoamericana (2026) | TGRS Research Map | TGRS