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- W2040147700 abstract "We consider the global well-posedness for the Cauchy probelem of the Kawahara equation which is one of the fifth order KdV type equations. We first establish the local well-posedness in a more suitable function space for the global well-posedness by a variant of the Fourier restriction norm method. Next, we extend local solutions globally in time by the I-method. In this paper, we apply the I-method to the modified Bourgain space." @default.
- W2040147700 created "2016-06-24" @default.
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- W2040147700 date "2012-02-29" @default.
- W2040147700 modified "2023-09-26" @default.
- W2040147700 title "Global well-posedness for the Kawahara equation with low regularity data" @default.
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- W2040147700 doi "https://doi.org/10.48550/arxiv.1202.6443" @default.
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