Well-posedness and qualitative properties for nonlinear PDEs
Fluid/gravity correspondence, fermionic sectors and its ramifications
Mean filed limit for partial diferential equations with rough noise
| Full text | |
| Author(s): |
Ferreira, Lucas C. F.
Total Authors: 1
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| Document type: | Journal article |
| Source: | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES; v. 105, n. 2, p. 228-247, FEB 2016. |
| Web of Science Citations: | 6 |
| Abstract | |
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) | |
| FAPESP's process: | 10/19098-2 - Singular solutions, symmetries and self-similarity for PDEs |
| Grantee: | Lucas Catão de Freitas Ferreira |
| Support Opportunities: | Regular Research Grants |