Small Data Scattering and Soliton Stability in Ḣ−
نویسندگان
چکیده
In this note we prove scattering for perturbations of solitons in the scaling space appropriate for the quartic nonlinearity, namely Ḣ− 1 6 . The article relies strongly on refined estimates for a KdV equation linearized at the soliton. In contrast to the work of Tao [19] we are able to work purely in the scaling space without additional regularity assumptions, allowing us to construct wave operators and a weak version of inverse wave operators.
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