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Nonlinear partial differential equations, general relativity, mathematical physics
(with I. Rodnianski) Local Propagation of Impulsive Gravitational Waves, preprint. On the Local Existence for the Characteristic Initial Value Problem in General Relativity , to appear in Int. Mat. Res. Notices. The Null Condition and Global Existence for Nonlinear Wave Equations on Slowly Rotating Kerr Spacetimes , to appear in Journal Eur. Math. Soc. A Vector Field Method Approach to Improved Decay for Solutions to the Wave Equation on a Slowly Rotating Kerr Black Hole , Analysis and PDE , 5(3):553-625, 2012. Improved Decay for Solutions to the Linear Wave Equation on a Schwarzschild Black Hole , Annales Henri Poincare , 11:805-880, 2010.