@article{1592122,
abstract = {We show that every C-0-resolvent on L-p(E, mu), where (E, beta) is a Lusin measurable space and mu is a or-finite measure on beta, has an associate sufficiently regular Markov process on a (larger) Lusin topological space containing E as a Borel subset. We give general conditions on the resolvent's generator such that the above process lives on E. We present two applications: (i) we settle a question of G. Mokobodzki on the existence of a (Lusin) topology on E having beta as Borel sigma-algebra such that a given Dirichlet form on L-2(E, mu) becomes quasi-regular; (ii) we solve stochastic differential equations on Hilbert spaces in the sense of a martingale problem.},
author = {Beznea, Lucian and Boboc, Nicu and Röckner, Michael},
issn = {1631-073X},
journal = {Comptes Rendus Mathematique},
number = {5-6},
pages = {323--328},
publisher = {Elsevier},
title = {{Markov processes associated with L-P-resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations}},
doi = {10.1016/j.crma.2007.12.005},
volume = {346},
year = {2008},
}