[{"_id":"2116","status":"public","type":"book_chapter","extern":1,"date_updated":"2021-01-12T06:55:24Z","dini_type":"doc-type:bookPart","citation":{"mla":"Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” Parabolic Problems, vol. 80, Birkhäuser, 2011, pp. 463–77, doi:10.1007/978-3-0348-0075-4_24.","short":"J. Maas, J. Van Neerven, in:, Parabolic Problems, Birkhäuser, 2011, pp. 463–477.","ieee":"J. Maas and J. Van Neerven, “Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators,” in Parabolic Problems, vol. 80, Birkhäuser, 2011, pp. 463–477.","apa":"Maas, J., & Van Neerven, J. (2011). Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In Parabolic Problems (Vol. 80, pp. 463–477). Birkhäuser. https://doi.org/10.1007/978-3-0348-0075-4_24","chicago":"Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” In Parabolic Problems, 80:463–77. Birkhäuser, 2011. https://doi.org/10.1007/978-3-0348-0075-4_24.","ista":"Maas J, Van Neerven J. 2011.Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In: Parabolic Problems. vol. 80, 463–477."},"publist_id":"4918","author":[{"last_name":"Maas","orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan"},{"last_name":"Van Neerven","first_name":"Jan"}],"acknowledgement":"The authors are supported by VIDI subsidy 639.032.201 (JM) and VICI subsidy 639.033.604 (JvN) of the Netherlands Organisation for Scientific Research (NWO). ","abstract":[{"lang":"eng"}],"month":"06","intvolume":" 80","quality_controlled":0,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0911.4336 "}],"oa":1,"day":"10","dc":{"type":["info:eu-repo/semantics/bookPart","doc-type:bookPart","text","http://purl.org/coar/resource_type/c_3248"],"publisher":["Birkhäuser"],"date":["2011"],"description":["Let P be the Ornstein-Uhlenbeck semigroup associated with the stochastic Cauchy problem dU(t)=AU(t)dt+dWH(t), where A is the generator of a C 0-semigroup S on a Banach space E, H is a Hilbert subspace of E, and W H is an H-cylindrical Brownian motion. Assuming that S restricts to a C 0-semigroup on H, we obtain L p -bounds for D H P(t). We show that if P is analytic, then the invariance assumption is fulfilled. As an application we determine the L p -domain of the generator of P explicitly in the case where S restricts to a C 0-semigroup on H which is similar to an analytic contraction semigroup. The results are applied to the 1D stochastic heat equation driven by additive space-time white noise."],"identifier":["https://research-explorer.ista.ac.at/record/2116"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-0348-0075-4_24"],"source":["Maas J, Van Neerven J. Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In: Parabolic Problems. Vol 80. Birkhäuser; 2011:463-477. doi:10.1007/978-3-0348-0075-4_24"],"title":["Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators"],"creator":["Jan Maas","Van Neerven, Jan"],"rights":["info:eu-repo/semantics/openAccess"]},"publication":"Parabolic Problems","publication_status":"published","date_published":"2011-06-10T00:00:00Z","volume":80,"date_created":"2018-12-11T11:55:48Z","uri_base":"https://research-explorer.ista.ac.at","page":"463 - 477"}]