Artículos de revistas
On A Bilinear Estimate In Weak-morrey Spaces And Uniqueness For Navier-stokes Equations
Registro en:
On A Bilinear Estimate In Weak-morrey Spaces And Uniqueness For Navier-stokes Equations. Elsevier Science Bv, v. 105, p. 228-247 FEB-2016.
0021-7824
WOS:000368220200003
10.1016/j.matpur.2015.10.004
Autor
Ferreira
Lucas C. F.
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) This paper is concerned with the continuity of the bilinear term B associated with the mild formulation of the Navier-Stokes equations. We provide a new proof for the continuity of B in critical weak-Morrey spaces without using auxiliary norms of Besov type neither Kato time-weighted norms. As a byproduct, we reobtain the uniqueness of mild solutions in the class of continuous functions from [0, T) to critical Morrey spaces. Our proof consists in estimates in block spaces (based on Lorentz spaces) that are preduals of Morrey Lorentz spaces. For that, we need to obtain properties like interpolation of operators, duality, Holder and Young type inequalities in such block spaces. (C) 2015 Elsevier Masson SAS. All rights reserved. 105 2
228 247 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) FAPESP [2010/19098-2] CNPq [309719/2012-7, 482428/2012-0]