{
  "abstract": "Inspired by graph theory, Neumann Boundary Value Problems on p-adic analytic manifold are formulated. Existence and uniqueness of weak solutions is proven in the ultracontractive case. For this task, a p-adic Gauss-Green identity and an extended eigenvalue formula for wavelets with small supports on the manifold are proven. As an application, the closeness to a zero of an analytic function on the manifold is shown to be detectable via a Neumann Boundary Value Problem.",
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  "article_type": null,
  "arxiv": "2609.26180",
  "author_total": 1,
  "authors": [
    {
      "name": "Patrick Erik Bradley"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ddpb9ygx6xr04.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26180",
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  "id": "ddpb9ygx6xr04",
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  "landing_url": "https://hal.science/hal-05749511v1",
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  "metadata_licence": "CC0-1.0",
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      "math.AP"
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  "openalex": null,
  "pdf_url": "https://hal.science/hal-05749511/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ddpb9ygx6xr04.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:34Z",
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      "url": "https://hal.science/hal-05749511v1"
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    {
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      "native_id": "2609.26180",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26180"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
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  "title": "Neumann Boundary Value Problems on p-Adic Analytic Manifolds",
  "title_text": "Neumann Boundary Value Problems on p-Adic Analytic Manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/ddpb9ygx6xr04",
  "venue": "HAL",
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}