| Texto completo | |
| Autor(es): |
Ferreira, Lucas C. F.
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES; v. 105, n. 2, p. 228-247, FEB 2016. |
| Citações Web of Science: | 6 |
| Resumo | |
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. (AU) | |
| Processo FAPESP: | 10/19098-2 - Soluções singulares, simetrias e auto-similaridade para EDPs |
| Beneficiário: | Lucas Catão de Freitas Ferreira |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |