Abstract
Using the div-curl inequalities of Bourgain and Brezis [1] and van Schaftingen [9], we prove an improved Strichartz estimate for systems of inhomogeneous wave and Schrodinger equations, for which the inhomogeneity is a divergence-free vector field at each given time. The novelty of the result is that one can allow L-x(1) norms of the inhomogeneity in the right hand side of the estimate.