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Integral identity and measure estimates for stationary Fokker–Planck equations

    1. [1] University of Science and Technology of China

      University of Science and Technology of China

      China

    2. [2] Chinese Academy of Science and Technology for Development

      Chinese Academy of Science and Technology for Development

      China

    3. [3] Jilin University

      Jilin University

      China

  • Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 43, Nº. 4, 2015, págs. 1712-1730
  • Idioma: inglés
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  • Resumen
    • We consider a Fokker–Planck equation in a general domain in Rn with Lploc drift term and W1,ploc diffusion term for any p>n. By deriving an integral identity, we give several measure estimates of regular stationary measures in an exterior domain with respect to diffusion and Lyapunov-like or anti-Lyapunov-like functions. These estimates will be useful to problems such as the existence and nonexistence of stationary measures in a general domain as well as the concentration and limit behaviors of stationary measures as diffusion vanishes.


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