Resolvent estimates with mild trapping

Research output: Contribution to journalArticle

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.
Original languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalJournees Equations aux derivees partielles
StatePublished - 2012

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