LP-uniqueness for infinite dimensional symmetricKolmogorov operators : the case of variable diffusion coefficients

• Vitali Liskevich ^[1] ; Michael Röckner ^[1] ; Zeev Sobol ^[2] ; Oleksiy Us ^[2]
  1. [1] University of Bristol

     University of Bristol

     Reino Unido

     
  2. [2] Bielefeld University

     Bielefeld University

     Kreisfreie Stadt Bielefeld, Alemania

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 30, Nº 2, 2001, págs. 285-309
• Idioma: inglés
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• Resumen

  • The problem of strong uniqueness in LP for infinite dimensional Kolmogorov operators is studied. The case of variable diffusion coefficients is considered.

    An analytic approach based on a priori estimates is employed. An application which is not covered by previous results is presented.