Abstract
We prove the global well-posedness for the Cauchy problem of fifth-order modified Korteweg–de Vries equation in Sobolev spaces Hs(ℝ) for s > \( - \frac{3}{{22}}\) . The main approach is the “I-method” together with the multilinear multiplier analysis.
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Gao, X.J. Global well-posedness for the fifth-order mKdV equation. Acta. Math. Sin.-English Ser. 34, 1015–1027 (2018). https://doi.org/10.1007/s10114-018-7241-4
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DOI: https://doi.org/10.1007/s10114-018-7241-4