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math.AP2006★ 1 cited
Dispersive Estimates for Manifolds with one Trapped Orbit
Hans Christianson
For a large class of complete, non-compact Riemannian manifolds, , with boundary, we prove high energy resolvent estimates in the case where there is one trapped hyperbolic…
math.SP2006
Semiclassical Nonconcentration near Hyperbolic Orbits
Hans Christianson
For a large class of semiclassical pseudodifferential operators, including Schrödinger operators, , on compact Riemannian manifolds, we give logarithmic…