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Scattering for the quartic generalised Korteweg–de Vries equation
Journal of Differential Equations, no. 2 (2007): 623-651
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We show that the quartic generalised KdV equationut+uxxx+(u4)x=0 is globally well posed for data in the critical (scale-invariant) space H˙x−1/6(R) with small norm (and locally well posed for large norm), improving a result of Grünrock [A. Grünrock, A bilinear Airy-estimate with application to gKdV-3, Differential Integral Equations 18 (1...更多
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