Algebra Properties in Fourier-Besov Spaces and Their Applications. (4th December 2018)

• Record Type: Journal Article
• Authors: Zhou, Xuhuan; Xiao, Weiliang
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-12-04
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/3629179
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the generalized Navier-Stokes equations. Particularly, we give a blow-up criterion of the solutions in Fourier-Besov spaces as well as a space analyticity of Gevrey regularity.