Sharp well-posedness for the $k$-dispersion generalized Benjamin-Ono equations: Short and long time results

Luccas Campos, Felipe Linares, Thyago S. R. Santos

We consider the $k$-dispersion generalized Benjamin-Ono ($k$-DGBO) equations. For nonlinearities with power $k\ge 4$, we establish local and global well-posedness results for the…