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

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.

29 Pages

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Cited by in corpus (2)

• Large data scattering for the defocusing supercritical generalized KdV equation
• On well-posedness and concentration of blow-up solutions for the intercritical inhomogeneous NLS equation