Showing 2024Show all
3 papers · 1 filter
math.AP2024
From resolvent expansions at zero to long time wave expansions
T. J. Christiansen, K. Datchev, M. Yang
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 boundednes…
math.AP2024
Low energy resolvent asymptotics of the multipole Aharonov--Bohm Hamiltonian
T. J. Christiansen, K. Datchev, M. Yang
We compute low energy asymptotics for the resolvent of the Aharonov--Bohm Hamiltonian with multiple poles for both integer and non-integer total fluxes. For integral total flux we…
math.SP2024
Persistence and disappearance of negative eigenvalues in dimension two
T. J. Christiansen, K. Datchev, C. Griffin
We compute asymptotics of eigenvalues approaching the bottom of the continuous spectrum, and associated resonances, for Schrödinger operators in dimension two. We distinguish persi…