{
  "id": "2101.09879",
  "version": "v1",
  "published": "2021-01-25T03:37:47.000Z",
  "updated": "2021-01-25T03:37:47.000Z",
  "title": "Finite-time convergence of solutions of Hamilton-Jacobi equations",
  "authors": [
    "Kaizhi Wang",
    "Jun Yan",
    "Kai Zhao"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "Suppose that $H(x,u,p)$ is strictly decreasing in $u$ and satisfies Tonelli conditions in $p$. We show that each viscosity solution of $H(x,u,u_x)=0$ can be reached by many viscosity solutions of $$ w_t+H(x,w,w_x)=0, $$ in a finite time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-25T03:37:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamilton-jacobi equations",
      "finite-time convergence",
      "viscosity solution",
      "satisfies tonelli conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}