Feller-type properties and path regularities of Markov processes

Forum Mathematicum

Volumn 17, Issue 3, 2005, Pages 343-359

  Dohmann, Judith Maria Nefertari ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21644466977     PISSN: 09337741     EISSN: 09337741     Source Type: Journal    
DOI: 10.1515/form.2005.17.3.343     Document Type: Article

References (8)

1. [AKR] Albeverio S., Kondratiev Y., and Röckner M.: Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions. In: Finite and infinite dimensional analysis in honor of Leonard Gross (New Orleans, LA, 2001). Volume 317 of Contemp. Math., pages 15-35. Amer. Math. Soc., Providence, RI 2003
2. [Ba] Heinz Bauer: Wahrscheinlichkeitstheorie. 4., völlig überarbeitete u. neugestaltete Aufl. des Werkes: Wahrscheinlichkeitstheorie und Grundzüge der Maßtheorie (Probability theory). De Gruyter Lehrbuch. Walter de Gruyter, Berlin etc. 1991
3. [BoKrR] Bogachev V. I., Krylov N. V., and Röckner M.: On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Comm. Partial Differential Equations 26 (2001), 2037-2080
4. [DR] Da Prato G. and Röckner M.: Singular dissipative stochastic equations in Hubert spaces. Probab. Theory Related Fields 124 (2002), 261-303
5. [E] Eberle A.: Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators. Lecture Notes in Mathematics 1718. Springer-Verlag, Berlin 1999
6. [MR] Ma Zhi-M. and Röckner M.: Introduction to the Theory of (Non-symmetric) Dirichlet Forms. Universitext. Springer-Verlag, Berlin 1992
7. 1: Existence, uniqueness and associated Markov processes. Ann. Scuola Norm. Super. Pisa, Cl. Sci., IV. Ser. 28 (1999), 99-140
8. [W] Williams D.: Diffusion, Markov Processes, and Martingales. Vol. 1: Foundations. Wiley Series in Probability and Mathematical Statistics. John Wiley & Sons., Chichester etc. 1979