@inbook{116329234d484bbfaa71ec476d9eb6ce,
title = "Second Order Commutator Estimates in Renormalisation Theory for SPDEs with Gradient-Type Noise",
abstract = "An important step in standard renormalisation arguments involves convolution against a standard mollifier. As pointed out in (Punshon-Smith–Smith 2018), this generates second order commutator terms in equations with gradient-type noise. These are commutators similar to commutators in the well-known “folklore lemma” of Di Perna–Lions (Di Perna–Lions 1989, Lemma II.1), but not covered by standard renormalisation theory. In this note we establish the vanishing of these commutators for gradient-type noises on Td not necessarily possessing divergence-free structure.",
keywords = "Commutator estimates, Gradient type noise, Renormalisation, Weak solutions",
author = "Pang, \{Peter H.C.\}",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.",
year = "2024",
doi = "10.1007/978-3-031-55260-1\_25",
language = "English",
series = "SEMA SIMAI Springer Series",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "331--340",
booktitle = "SEMA SIMAI Springer Series",
address = "Germany",
}