Frequency-Uniform Decomposition, Function Spaces Xp, qs, and Applications to Nonlinear Evolution Equations. (10th July 2013)

• Record Type: Journal Article
• Authors: Ru, Shaolei; Chen, Jiecheng
• Other Names: Matkowski Janusz Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-07-10
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/176596
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : By combining frequency-uniform decomposition with L p (ℓ q ), we introduce a new class of function spaces (denoted by X p, q s ). Moreover, we study the Cauchy problem for the generalized NLS equations and Ginzburg-Landau equations in L r ( 0, T ; X p, 1 s ) .