caa a22 4500 445320273 CHVBK 20180317142701.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00023-011-0108-1 doi (NATIONALLICENCE)springer-10.1007/s00023-011-0108-1 Resolvent Estimates for Normally Hyperbolic Trapped Sets [Elektronische Daten] [Jared Wunsch, Maciej Zworski] 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. Springer Basel AG, 2011 Wunsch Jared Department of Mathematics, Northwestern University, 2033, Sheridan Road, 60208-2730, Evanston, IL, USA aut Zworski Maciej Mathematics Department, University of California Berkeley, 2135, California Street, 94720, Berkeley, CA, USA aut Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/7(2011-11-01), 1349-1385 1424-0637 12:7<1349 2011 12 23 https://doi.org/10.1007/s00023-011-0108-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0108-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wunsch Jared Department of Mathematics, Northwestern University, 2033, Sheridan Road, 60208-2730, Evanston, IL, USA aut NATIONALLICENCE 700 1- Zworski Maciej Mathematics Department, University of California Berkeley, 2135, California Street, 94720, Berkeley, CA, USA aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/7(2011-11-01), 1349-1385 1424-0637 12:7<1349 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer