Details

Autor(en) / Beteiligte

• Wunsch, Jared
• Zworski, Maciej

Titel

Resolvent Estimates for Normally Hyperbolic Trapped Sets

Ist Teil von

• Annales Henri Poincaré, 2011-11, Vol.12 (7), p.1349-1385, Article 1349

Ort / Verlag

Basel: SP Birkhäuser Verlag Basel

Erscheinungsjahr

2011

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We give pole free strips and estimates for resolvents of semiclassical operators which, on the level of the classical flow, have normally hyperbolic smooth trapped sets of codimension two in phase space. Such trapped sets are structurally stable and our motivation comes partly from considering the wave equation for Kerr black holes and their perturbations, whose trapped sets have precisely this structure. We give applications including local smoothing effects with epsilon derivative loss for the Schrödinger propagator as well as local energy decay results for the wave equation.