3 papers
math.AP2026
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…
math.AP2026
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…
gr-qc2025
Boundedness for the wave equation on stationary axisymmetric perturbations of Kerr
Yakov Shlapentokh-Rothman, Mihai Tohaneanu
On the full range of sub-extremal Kerr exterior spacetimes we give a new proof of energy boundedness for high-frequency projections of solutions to the wave equation onto trapped f…