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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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