Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139975 | Mathematics and Computers in Simulation | 2009 | 11 Pages |
Abstract
It is shown that if the dispersion of the KdV equation is replaced by a higher order dispersion ∂xm, where m≥3m≥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≥−1/2s≥−1/2.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Jennifer Gorsky, A. Alexandrou Himonas,