Remarks on energy inequalities for wave and Maxwell equations on a curved background

Mathematische Annalen

Volumn 329, Issue 4, 2004, Pages 707-722

  Alinhac, S ^a  

^a Univ des Sciences Paris Sud   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3543017936     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-004-0534-1     Document Type: Article

References (11)

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