References
Alinhac, S.: The null condition for quasilinear wave equations in two space dimensions I. Invent. Math 145, 597–618 (2001)
Alinhac, S.: An Example of Blowup at Infinity for a Quasilinear Wave Equation. Astérisque 284, 1–91 (2003)
Christodoulou, D., Klainerman, S.: The global nonlinear stability of the Minkowski space. Princeton Math. series 41, (1993)
Christodoulou, D., Klainerman, S.: Asymptotic Properties of Linear Field Equations in Minkowski Space. Comm. Pure Appl. Math. XLIII, (1990), 137–199
Hörmander, L.: Lectures on Nonlinear Hyperbolic Differential Equations. Math. et Appl. 26, Springer Verlag, (1997)
Keel, M., Smith, H., Sogge, C.: Almost global existence for some semilinear wave equations. J. Anal. Math. LXXXVII, (2002), 265–280
Klainerman, S.: A Commuting Vectorfields Approach to Strichartz type Inequalities and Applications to Quasilinear Wave Equations. Int. Math. Res. Notices 5, 221–274 (2001)
Klainerman, S., Nicolò, F.: The Evolution Problem in General Relativity. Progress in Math. Physics 25, Birkhäuser, (2002)
Klainerman, S., Rodniansky, I.: Improved local well posedness for quasilinear wave equations in dimension three. To appear, Duke Math. J. (2002)
Lindblad, H., Rodniansky, I.: Global existence for the Einstein vacuum equations in wave coordinates. Preprint, dec. 2003.
Strauss, W.: Nonlinear invariant wave equations. Lect. Notes in Physics, Springer Verlag, 73, 197–249 (1978)
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Alinhac, S. Remarks on energy inequalities for wave and Maxwell equations on a curved background. Math. Ann. 329, 707–722 (2004). https://doi.org/10.1007/s00208-004-0534-1
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DOI: https://doi.org/10.1007/s00208-004-0534-1