Convolutions of singular measures and applications to the Zakharov system

Published 16 Sep 2010 in math.AP | (1009.3250v2)

Abstract: Uniform L^2-estimates for the convolution of singular measures with respect to transversal submanifolds are proved in arbitrary space dimension. The results of Bennett-Bez are used to extend previous work of Bejenaru-Herr-Tataru. As an application, it is shown that the 3D Zakharov system is locally well-posed in the full subcritical regime.

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