Bilinear virial identities and applications

Abstract

We prove bilinear virial identities for the nonlinear Schrödinger 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.

Locations

• Annales Scientifiques de l École Normale Supérieure - View - PDF
• arXiv (Cornell University) - View
• French digital mathematics library (Numdam) - View - PDF