Wengu Chen

"Multilinear estimates and applications to nonlinear dispersive equations"


Abstract: The X^{s,b} spaces are fundamental tools to study the
low-regularity behavior of nonlinear dispersive equations. It is of
particular interest to obtain bilinear or multilinear estimates
involving these spaces. We will get some bilinear estimates on some
new type of X^{s,b} spaces adapted to the dissipative version of the
modified Korteweg de Vries equation and obtain new local
well-posedness of associated Cauchy problem.