Local well-posedness for dispersion generalized Benjamin-Ono equations

Abstract

In this paper we study local well-posedness in the energy space for a family of dispersive equations that can be seen as dispersive ``interpolations'' between the KdV and the Benjamin-Ono equation.

26 pages

References in corpus (1)

• Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations