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Type: Artigo
Title: Bilinear estimates and uniqueness for Navier-Stokes equations in critical Besov-type spaces
Author: Ferreira, L.C.F.
Pérez-López, J.E.
Abstract: We show bilinear estimates for the Navier–Stokes equations in critical Besov-weak-Morrey (BWM) spaces that contain the so-called Besov–Morrey (BM) spaces. Our estimates employ only the norm of the natural persistence space and do not use auxiliary norms like, e.g., Kato time-weighted norms. As a corollary, we obtain the uniqueness of mild solutions in the class of continuous functions from [0 , ∞) to critical BWM-spaces and, in particular, to BM-spaces. For our purposes, we need to show interpolation properties, heat semigroup estimates, and a characterization of preduals (of BWM-spaces) that are Besov-type spaces based on Lorentz-block ones. Another ingredient is a product estimate in our setting.
Subject: Espaços de Besov
Navier-Stokes, Equações de
Country: Alemanha
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s10231-019-00883-4
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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