Day 2, 13:15 - 14:15
Global existence and growth of higher Sobolev norms for the generalized derivative NLS
Masayuki Hayashi - Kyoto University
Abstract : We study global existence and growth of higher Sobolev norms for the generalized derivative NLS on the 1-d torus. The key in the proof is the extraction of the terms that cause the problem in energy estimates and the construction of suitable energies so as to cancel the problematic terms out by effectively using integration by parts and the equation.