Bay Area Microlocal Analysis Seminar: Semiclassical resolvent estimates away from trapping

Seminar | September 25 | 2:40-3:30 p.m. | 740 Evans Hall

 Kiril Datchev, Purdue University

 Department of Mathematics

Semiclassical resolvent estimates relate dynamics of a particle scattering problem to regularity and decay of waves in a corresponding wave scattering problem. Roughly speaking, more trapping of particles corresponds to a larger resolvent near the trapping. If the trapping is mild, then propagation estimates imply that the larger norm occurs only there. However, in this talk I will show how the effects of heavy trapping can tunnel over long distances, implying that the resolvent can be very large far away as well. This is joint work with Long Jin.