H-p-H-q estimates for dispersive equations and related applications

摘要

This paper studies the H-p-H-q estimates of the solutions for a class of dispersive equations under the assumption that principal operators are homogeneous elliptic and the corresponding level hypersurfaces are convex and of finite type. These estimates allow us to show higher order Schrodinger operator generates a fractionally integrated group in L-p(R-n).