{
  "annotation_id": "0e613b66-b580-48e1-94c8-47b3be67e349",
  "date_created": "2026-02-17T05:53:20.452000Z",
  "date_modified": "2026-02-17T05:53:20.452000Z",
  "file_hash": "8e3c7a45f144ecc0f9ddb633005d5fd347c1fbd6a561f37d586543fbbf8a02c6",
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  "record": {
    "abstract": "We study the quasilinear Maxwell system with a strictly positive, state dependent boundary conductivity. For small data we show that the solution exists for all times and decays exponentially to $0$. As in related literature we assume a nontrapping condition. Our approach relies on a new trace estimate for the corresponding non-autonomous linear problem, an observability-type estimate, and a detailed regularity analysis. The results are improved in the linear autonomous case, using properties of the Helmholtz decomposition in Sobolev spaces of (small) negative order.",
    "arxiv_id": "2601.09490",
    "authors": [
      "Richard Nutt",
      "Roland Schnaubelt"
    ],
    "categories": [
      "math.AP"
    ],
    "doi": "10.1016/j.jmaa.2023.127915",
    "journal_ref": "Journal of Mathematical Analysis and Applications, Volume 532, Issue 1, 2024, Article 127915",
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "title": "Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary",
    "url": "https://arxiv.org/abs/2601.09490",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7afa06c7-62e3-447a-b311-7b7fb04251b9",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}