126 citations · 275 across the 15 of their papers we have counts for
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Local Energy Decay for Non-Stationary Damped Wave Operators
Nicholas Arsenault, Mihai Tohaneanu
The paper establishes integrated local energy decay (ILED) estimates for the damped wave equation on certain non-stationary spacetimes. The main technical result is a high frequenc…
The weak null condition on Kerr backgrounds
Hans Lindblad, Mihai Tohaneanu
We study a system of semilinear wave equations on Kerr backgrounds that satisfies the weak null condition. Under the assumption of small initial data, we prove global existence and…
Global existence and pointwise decay for nonlinear waves under the null condition
Shi-Zhuo Looi, Mihai Tohaneanu
This paper proves global existence and sharp pointwise decay for solutions to nonlinear wave equations satisfying the semilinear null condition, on a class of three-dimensional, as…
Pointwise decay for semilinear wave equations on Kerr spacetimes
Mihai Tohaneanu
In this article we prove optimal pointwise bounds for solutions to the semilinear wave equation with integer powers on Kerr backgrounds with small angular momentum and sm…
On the interaction of metric trapping and a boundary
Kiril Datchev, Jason Metcalfe, Jacob Shapiro +1
By considering a two ended warped product manifold, we demonstrate a bifurcation that can occur when metric trapping interacts with a boundary. In this highly symmetric example, as…
A local energy estimate for wave equations on metrics asymptotically close to Kerr
Hans Lindblad, Mihai Tohaneanu
In this article we prove a local energy estimate for the linear wave equation on metrics with slow decay to a Kerr metric with small angular momentum. As an application, we study t…