We prove that the Benjamin-Ono equation is locally well-posed in H s (R) for s > 9/8 and that for arbitrary initial data, the modified (cubic nonlinearity) Benjamin-Ono equation is locally well-posed in H s (R) for s 1.
No takes yet. Share an insight, caveat, or question.
Kenig et al. (2003) studied this question.
Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context: