Title of article
Convolutions of singular measures and applications to the Zakharov system
Author/Authors
Ioan Bejenaru، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
29
From page
478
To page
506
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.
© 2011 Elsevier Inc. All rights reserved.
Keywords
Zakharov system , well-posedness , Convolution estimates , Transversal submanifolds , L2 bounds
Journal title
Journal of Functional Analysis
Serial Year
2011
Journal title
Journal of Functional Analysis
Record number
840488
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