{
  "annotation_id": "0677c27d-5be0-4538-8a85-d19ae4c7935d",
  "date_created": "2026-02-17T05:53:20.467000Z",
  "date_modified": "2026-02-17T05:53:20.467000Z",
  "file_hash": "f17dd37efc1401453888671661193d3ded37a908fb1cb4a58093784e946c3e39",
  "private": false,
  "record": {
    "abstract": "We study the anisotropic linear Maxwell system on a bounded domain $\\Omega$ with perfectly conducting boundary conditions. It is damped via a conductivity $\\sigma$ which is strictly positive on a collar at the boundary. We prove that solutions decay exponentially to 0, if the fields have no magnetic charges on $\\Omega$ and no electric charges off the support of $\\sigma$. Our approach relies on a splitting of the solution via a Helmholtz decomposition and an observability-type estimate for a related second-order system without charges, shown using Morawetz multipliers. Corresponding exact observability and controllability results are also established.",
    "arxiv_id": "2601.09502",
    "authors": [
      "Richard Nutt",
      "Roland Schnaubelt"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "title": "Exponential decay of the linear Maxwell system due to conductivity near the boundary",
    "url": "https://arxiv.org/abs/2601.09502",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d2c51e58-6d34-4297-b7c3-15dff082e8cb",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}