---
res:
bibo_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.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Lucian
foaf_name: Beznea, Lucian
foaf_surname: Beznea
- foaf_Person:
foaf_givenName: Nicu
foaf_name: Boboc, Nicu
foaf_surname: Boboc
- foaf_Person:
foaf_givenName: Michael
foaf_name: Röckner, Michael
foaf_surname: Röckner
foaf_workInfoHomepage: http://www.librecat.org/personId=10585
bibo_doi: 10.1016/j.crma.2007.12.005
bibo_issue: 5-6
bibo_volume: 346
dct_date: 2008^xs_gYear
dct_identifier:
- UT:000254421000017
dct_isPartOf:
- http://id.crossref.org/issn/1631-073X
dct_language: fre
dct_publisher: Elsevier@
dct_title: Markov processes associated with L-P-resolvents, applications to quasi-regular
Dirichlet forms and stochastic differential equations@
...