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4. Ordinary and Partial Differential Equations, Controlled Differential Systems

The weak null condition on Kerr backgrounds

Mihai Tohăneanu
University of Kentucky, Lexington, Kentucky, USA

Abstract:

Understanding global existence for systems satisfying the weak null condition plays a crucial role in the proof of stability of Minkowski in harmonic coordinates. In this talk I will present a proof of global existence for a semilinear system of equations on Kerr spacetimes satisfying the weak null condition. This is joint work with Hans Lindblad.