Bilinear virial identities and applications

Details Bilinear virial identities and applications Bilinear virial identities and applications

2007-12-25

arxiv.org/abs/0712.4076v2

Mathematics

Analysis of PDEs

30 pages, final version to appear in the Annales Scientifiques de l'ENS

Scientific paper

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.

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