Nonlinear Profile Decomposition and the Concentration Phenomenon for Supercritical Generalized KdV Equations
Analysis of PDEs
2021-08-26 v1
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.
Cite
@article{arxiv.1610.06904,
title = {Nonlinear Profile Decomposition and the Concentration Phenomenon for Supercritical Generalized KdV Equations},
author = {Luiz Gustavo Farah and Brian Pigott},
journal= {arXiv preprint arXiv:1610.06904},
year = {2021}
}
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29 Pages