{
  "id": "2203.11046",
  "version": "v1",
  "published": "2022-03-21T15:12:46.000Z",
  "updated": "2022-03-21T15:12:46.000Z",
  "title": "$\\mathcal{A}$-caloric approximation and partial regularity for parabolic systems with Orlicz growth",
  "authors": [
    "Mikil Foss",
    "Teresa Isernia",
    "Chiara Leone",
    "Anna Verde"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove a new $\\mathcal{A}$-caloric approximation lemma compatible with an Orlicz setting. With this result, we establish a partial regularity result for parabolic systems of the type $$ u_{t}- {\\rm div} \\,a(Du)=0. $$ Here the growth of $a$ is bounded by the derivative of an $N$-function $\\varphi$. The primary assumption for $\\varphi$ is that $t\\varphi''(t)$ and $\\varphi'(t)$ are uniformly comparable on $(0,\\infty)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-21T15:12:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parabolic systems",
      "orlicz growth",
      "partial regularity result",
      "primary assumption",
      "caloric approximation lemma compatible"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}