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Global well-posedness for the fifth-order mKdV equation

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AbstractWe prove the global well-posedness for the Cauchy problem of fifth-order modified Korteweg–de Vries equation in Sobolev spaces Hs(ℝ) for s > $$ - \frac{3}{{22}}$$−322 . The main approach is… Click to show full abstract

AbstractWe prove the global well-posedness for the Cauchy problem of fifth-order modified Korteweg–de Vries equation in Sobolev spaces Hs(ℝ) for s > $$ - \frac{3}{{22}}$$−322 . The main approach is the “I-method” together with the multilinear multiplier analysis.

Keywords: order mkdv; global well; fifth order; well posedness; posedness fifth

Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2018

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