From resolvent expansions at zero to long time wave expansions
arXiv:2408.03234
Abstract
We prove a general abstract theorem deducing wave expansions as time goes to infinity from resolvent expansions as energy goes to zero, under an assumption of polynomial boundedness of the resolvent at high energy. We give applications to obstacle scattering, to Aharonov--Bohm Hamiltonians, to scattering in a sector, and to scattering by a compactly supported potential.
v2: 14 pages, 1 figure. Updated following referees' comments