Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KdV equations

Published in Indiana University Mathematics Journal, 2018

Recommended citation: L.G. Farah and B. Pigott, "Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KdV equations." Indiana Univ. Math. J.. 67 (5) (2018). https://doi.org/10.1512/iumj.2018.67.7471

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.

Link to Journal

L.G. Farah and B. Pigott, "Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KdV equations." Indiana Univ. Math. J.. 67 (5) (2018).