Article ID Journal Published Year Pages File Type
4590863 Journal of Functional Analysis 2011 29 Pages PDF
Abstract

Uniform L2-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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory