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arXiv · 1305.0404

Dispersion dynamics for the defocusing generalized Korteweg-de Vries equation

Stefan Steinerberger
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Abstract

We study dispersion for the defocusing gKdV equation. It is expected that it is not possible for the bulk of the $L^2-$mass to concentrate in a small interval for a long time. We study a variance-type functional exploiting Tao's monotonicity formula in the spirit of earlier work by Tao as well as Kwon & Shao and quantify its growth in terms of sublevel estimates.

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Stefan Steinerberger. 2013-05-02. Dispersion dynamics for the defocusing generalized Korteweg-de Vries equation. https://arxiv.org/abs/1305.0404

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