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arXiv · 2509.20958

MIT bag in non-smooth convex domains

Konstantin Pankrashkin
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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 limit of Dirac operators with large positive mass outside the domain. Similar results were previously known for smooth domains only.

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Konstantin Pankrashkin. 2025-09-25. MIT bag in non-smooth convex domains. https://arxiv.org/abs/2509.20958

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