Almost conservation law and global rough solutions to a nonlinear Davey-Stewartson equation |
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| Authors: | Caixia Shen Boling Guo |
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| Affiliation: | a The Graduate School of China Academy of Engineering Physics, Beijing 100088, China
b Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | We prove an “almost conservation law” to obtain global-in-time well-posedness for the nonlinear Davey-Stewartson equation in Hs(R2), and  . |
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| Keywords: | Davey-Stewartson equation The Cauchy problem Almost conservation law Low regularity |
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