Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:239

Article

Wang, Baoxiang ; Huang, Chunyan

关键词: Korteweg-de Vries equation;    Benjamin-Ono equation;    nonlinear Schrodinger equation;    rough data;    embedding between Besov and modulation spaces;   

DOI  :  10.1016/j.jde.2007.04.009

来源: Elsevier

【 摘 要 】

Sufficient and necessary conditions for the embeddings between Besov spaces B-p,q(s1) and modulation M-p,q(s2) are obtained. Moreover, using the frequency-uniform decomposition method, we study the Cauchy problem for the generalized BO, KdV and NLS equations, for which the global well-posedness of solutions with the small rough data in certain modulation spaces M-2,1(s) is shown. (c) Elsevier Inc. All rights reserved.

【 授权许可】

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