Resolvent estimates with mild trapping

Abstract

We discuss recent progress in understanding the effects of certain trapping geometries on cut-off resolvent estimates, and thus on the qualititative behavior of linear evolution equations. We focus on trapping that is unstable, so that strong resolvent estimates hold on the real axis, and large resonance-free regions can be shown to exist beyond it.

Locations

• Journées Équations aux dérivées partielles - View - PDF
• arXiv (Cornell University) - View - PDF