Convolution estimates and the Gross-Pitaevskii hierarchy

Abstract

Extensions to higher-dimensions are given for a convolution estimate used by Klainerman and Machedon in their study of uniqueness of solutions for the Gross-Pitaevskii hierarchy. Such estimates determine more general forms of Stein-Weiss integrals involving restriction to smooth submanifolds.

AMSLaTeX, 10 pages, expanded material

References in corpus (1)

• On the uniqueness of solutions to the Gross-Pitaevskii hierarchy

Cited by in corpus (2)

• On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy
• Randomization and the Gross-Pitaevskii hierarchy