| Contents |
| We shall discuss the initial value problem for a generalized Camassa-Holm
equation with higher order nonlinearities and containing as its members three
integrable equations--the Camassa-Holm, the Degasperis-Procesi and the Novikov
equations. For $s>3/2$ we shall show that this equation is well-posed
in Sobolev spaces $H^s$ on both the circle and the line
in the sense of Hadamard. That is, the data-to-solution map
is continuous. However, it is not uniformly continuous.
This is work in collaboration with Curtis Holliman. |
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