J. Stogin

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20112026

most citedGlobal Stability of the Nontrivial Solutions to the Wave Map Problem from Kerr

∣ a ∣ ≪ M

to the Hyperbolic Plane under Axisymmetric Perturbations Preserving Angular Momentum

4 citations · 8 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.AP2026★ 2 cited

Nonlinear Wave Dynamics in Black Hole Spacetimes

John Stogin

This manuscript is a lightly reformatted version of my 2017 PhD thesis. I am posting it on arXiv at the request of my advisor, Sergiu Klainerman, who noted that it has been useful…

math.AP2016★ 4 cited

Global Stability of the Nontrivial Solutions to the Wave Map Problem from Kerr $∣ a ∣ ≪ M$ to the Hyperbolic Plane under Axisymmetric Perturbations Preserving Angular Momentum

John Stogin

This document proves global boundedness and decay for axisymmetric perturbations of a known solution to the wave map problem from a slowly rotating $∣ a ∣ ≪ M$ Kerr spacetime to the…

Nonlinear Wave Dynamics in Black Hole Spacetimes

Global Stability of the Nontrivial Solutions to the Wave Map Problem from Kerr ∣a∣≪M to the Hyperbolic Plane under Axisymmetric Perturbations Preserving Angular Momentum

Global Stability of the Nontrivial Solutions to the Wave Map Problem from Kerr $∣ a ∣ ≪ M$ to the Hyperbolic Plane under Axisymmetric Perturbations Preserving Angular Momentum