Bilinear virial identities and applications
Analysis of PDEs
2008-08-01 v2
Abstract
We prove bilinear virial identities for the nonlinear Schrodinger equation, which are extensions of the Morawetz interaction inequalities. We recover and extend known bilinear improvements to Strichartz inequalities and provide applications to various nonlinear problems, most notably on domains with boundaries.
Cite
@article{arxiv.0712.4076,
title = {Bilinear virial identities and applications},
author = {Fabrice Planchon and Luis Vega},
journal= {arXiv preprint arXiv:0712.4076},
year = {2008}
}
Comments
30 pages, final version to appear in the Annales Scientifiques de l'ENS