Article ID Journal Published Year Pages File Type
1139975 Mathematics and Computers in Simulation 2009 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
Authors
, ,