Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
Authors:
Daniel Tataru
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Abstract:
In an earlier work of the author it was proved that the Strichartz estimates for second order hyperbolic operators hold in full if the coefficients are of class . Here we strengthen this and show that the same holds if the coefficients have two derivatives in . Then we use this result to improve the local theory for second order nonlinear hyperbolic equations.