A remark on global well-posedness below L² for the gKdV-3 equation
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🧮 math.AP
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equationgkdv-3appliedbelowcauchy-problemcollianderdatadeveloped
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The I-method in its first version as developed by Colliander et al. is applied to prove that the Cauchy-problem for the generalised Korteweg-de Vries equation of order three (gKdV-3) is globally well-posed for large real-valued data in the Sobolev space H^s, provided s>-1/42.
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