Local Well-Posedness for the Davey-Stewartson Equation in a Generalized Feichtinger Algebra | |
Sugimoto, Mitsuru ; Wang, Baoxiang ; Zhang, Rongrong | |
2015 | |
关键词 | Davey-Stewartson equations Local well-posedness Feichtinger algebra NONLINEAR SCHRODINGER-EQUATIONS UNIMODULAR FOURIER MULTIPLIERS MODULATION SPACES EVOLUTION-EQUATIONS SYSTEMS EXISTENCE TIME TRANSFORMS DECAY |
英文摘要 | In this paper, we consider the initial value problem for the hyperbolic-type Davey-Stewartson equations, including elliptic-hyperbolic and hyperbolic-hyperbolic cases. We show the local existence and uniqueness of the solution in the generalized Feichtinger algebra with sufficiently small initial data in . Moreover, we show the ill-posedness of the solutions in the sense that the solution map is not if the spatial regularity is below .; SCI(E); ARTICLE; sugimoto@math.nagoya-u.ac.jp; wbx@pku.edu.cn; zhan1602@purdue.edu; 5; 1105-1129; 21 |
语种 | 英语 |
出处 | SCI |
出版者 | JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/416047] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Sugimoto, Mitsuru,Wang, Baoxiang,Zhang, Rongrong. Local Well-Posedness for the Davey-Stewartson Equation in a Generalized Feichtinger Algebra. 2015-01-01. |
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