Global well-posedness for the k-dispersion generalized Benjamin-Ono equation

2012/12/18 by Farah, Luiz Gustavo, Linares, Felipe, Pastor, Ademir
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1212.4445

Abstract

We consider the k-dispersion generalized Benjamin-Ono equation in the supercritical case. We establish sharp conditions on the data to show global well-posedness in the energy space for this family of nonlinear dispersive equations. We also prove similar results for the generalized Benjamin-Ono equation.

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