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arXiv · 1009.3250

Convolutions of singular measures and applications to the Zakharov system

Ioan Bejenaru·Sebastian Herr
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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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Ioan Bejenaru, Sebastian Herr. 2010-09-26. Convolutions of singular measures and applications to the Zakharov system. https://doi.org/10.1016/j.jfa.2011.03.015

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