most citedGlobal existence and pointwise decay for nonlinear waves under the null condition

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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★ 1 cited

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…