Well-posedness of KdV with higher dispersion

Jennifer Gorsky and A. Alexandrou Himonas

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 1, 173-183

Abstract: It is shown that if the dispersion of the KdV equation is replaced by a higher order dispersion ∂xm, where m≥3 is an odd integer, then the critical Sobolev exponent for local well-posedness on the circle does not change. That is, the resulting equation is locally well-posed in Hs(T), s≥−1/2.

Keywords: KdV equation; Local well-posedness; Sobolev spaces (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:1:p:173-183

DOI: 10.1016/j.matcom.2009.06.007

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