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THE FOKKER-PLANCK EQUATION WITH SUBCRITICAL CONFINEMENT FORCE

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Laboratoire de Mathématiques de Versailles (LMV); Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS); CEntre de REcherches en MAthématiques de la DEcision (CEREMADE); Université Paris Dauphine-PSL; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
    • بيانات النشر:
      CCSD
      Elsevier
    • الموضوع:
      2021
    • Collection:
      Université de Versailles Saint-Quentin-en-Yvelines: HAL-UVSQ
    • نبذة مختصرة :
      International audience ; We consider the Fokker-Planck equation with subcritical confinement force field which may not derive from a potential function. We prove the existence of an equilibrium (in the case of a general force) and we establish some (polynomial and stretch exponential) rate of convergence to the equilibrium (depending on the space to which belongs the initial datum). Our results improve similar results established by Toscani, Villani [29] and Röchner , Wang [27]: the force field is more general, the spaces are more general, the rates are sharper.
    • Relation:
      https://hal.science/hal-01241680v3; info:eu-repo/semantics/altIdentifier/arxiv/1512.07005; ARXIV: 1512.07005
    • الرقم المعرف:
      10.1016/j.matpur.2021.04.007
    • الدخول الالكتروني :
      https://hal.science/hal-01241680
      https://hal.science/hal-01241680v3/document
      https://hal.science/hal-01241680v3/file/Sous-critique-20.pdf
      https://doi.org/10.1016/j.matpur.2021.04.007
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.A083694F