Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization

• Vitali Liskevich ^[1] ; Michael Röckner ^[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. 27, Nº 1, 1998, págs. 69-91
• Idioma: inglés
• Enlaces
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• Resumen

  • Strong and Markov uniqueness problems in L2 for Dirichlet operators on rigged Hilbert spaces are studied. An analytic approach based on a priori estimates is used. The extension of the problem to the Lp-setting is discussed. As a direct application essential self-adjointness and strong uniqueness in Lp is proved for the generator (with initial domain the bounded smooth cylinder functions) of the stochastic quantization process for Euclidean quantum field theory in finite volume