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arXiv · 1610.06904

Nonlinear Profile Decomposition and the Concentration Phenomenon for Supercritical Generalized KdV Equations

Luiz Gustavo Farah·Brian Pigott
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Abstract

A nonlinear profile decomposition is established for solutions of supercritical generalized Korteweg-de Vries equations. As a consequence, we obtain a concentration result for finite time blow-up solutions that are of Type II.

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Luiz Gustavo Farah, Brian Pigott. 2016-10-21. Nonlinear Profile Decomposition and the Concentration Phenomenon for Supercritical Generalized KdV Equations. https://doi.org/10.1512/iumj.2018.67.7471

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