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math.AP2022★ 1 cited
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…
math.AP2022★ 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…