Papers and Preprints

L. Andersson, P. Blue: Hidden symmetries and decay for the wave equation on the Kerr spacetime, arxiv 0908.2265v1.

P. Blue: Decay of the Maxwell field on the Schwarzschild manifold, arxiv 0710.4102.

P. Blue, A. Soffer: A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold, Lett. Math. Phys. 81 (2007), no 3, 227-238.

P. Blue, A. Soffer: Improved decay rates with small regularity loss for the wave equation about a Schwarzschild black hole. math.AP/0612168.

P. Blue, A. Soffer: Errata for ``Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds'', ``Semilinear wave equations on the Schwarzschild manifold I: Local Decay Estimates'', and ``The wave equation on the Schwarzschild metric II: Local Decay for the spin 2 Regge Wheeler equation''. gr-qc/0608073 .

P. Blue, A. Soffer: Phase Space Analysis on some Black Hole Manifolds. math.AP/0511281

P. Blue, J. Sterbenz: Uniform Decay of Local Energy and the Semi-Linear Wave Equation on Schwarzchild Space. math.AP/0510315

P. Blue, J. Colliander: Global well-posedness in Sobolev space implies global existence for weighted L^2 initial data for L^2 -critical NLS. math.AP/0508001

P. Blue, A. Soffer: Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates. Adv.Diff.Eq. 8 (2003) 595-614. gr-qc/0310091

P. Blue, A. Soffer: The wave equation on the Schwarzschild metric II: Local decay for the spin 2 Regge Wheeler equation. J.Math.Phys. 46 (2005) 012502. gr-qc/0310066