Interpolation, extrapolation, Morrey spaces and local energy control for the Navier–Stokes equations
Volume 119 / 2019
Banach Center Publications 119 (2019), 279-294
MSC: 35K55, 35Q30, 76D05.
DOI: 10.4064/bc119-16
Abstract
Barker recently proved new weak-strong uniqueness results for the Navier–Stokes equations based on a criterion involving Besov spaces and a proof through interpolation between Besov–Hölder spaces and $L^2$. We improve slightly his results by considering Besov–Morrey spaces and interpolation between Besov–Morrey spaces and $L^2_{\rm uloc}$.
