6 citations · 18 across the 17 of their papers we have counts for
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math.AP2007★ 6 cited
Applications of Cutoff Resolvent Estimates to the Wave Equation
Hans Christianson
We consider solutions to the linear wave equation on non-compact Riemannian manifolds without boundary when the geodesic flow admits a filamentary hyperbolic trapped set. We obtain…
math.AP2007★ 1 cited
Cutoff Resolvent Estimates and the Semilinear Schrödinger Equation
Hans Christianson
This paper shows how abstract resolvent estimates imply local smoothing for solutions to the Schrödinger equation. If the resolvent estimate has a loss when compared to the optimal…