81 citations · 432 across the 18 of their papers we have counts for
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gr-qc2013★ 77 cited
Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime
Yakov Shlapentokh-Rothman
We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an appl…
gr-qc2013★ 81 cited
Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes
Yakov Shlapentokh-Rothman
For any sub-extremal Kerr spacetime with non-zero angular momentum, we find an open family of non-zero masses for which there exist smooth, finite energy, and exponentially growing…