Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space

Communications in Mathematical Physics

Volumn 268, Issue 2, 2006, Pages 481-504

  Blue, Pieter ^a   Sterbenz, Jacob ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749992424     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0101-6     Document Type: Article

References (11)

1. Blue, P.: Decay estimates and phase space analysis for wave equations on some black hole metrics. Ph.D. thesis, Rutgers, The State University of New Jersey, New Brunswick, NJ, October 2004
2. Blue, P., Soffer, A.: Semilinear wave equations on the Schwarzschild manifold. I. Local decay estimates. Adv. Differ. Eq. 8(5), 595-614 (2003)
3. Blue, P., Soffer, A.: The wave equation on the Schwarzschild metric. II. Local decay for the spin-2 Regge-Wheeler equation. J. Math. Phys. 46(1), 012502 (2005)
4. Blue, P., Soffer, A.: Phase space analysis on some black hole manifolds, submitted
5. Dafermos, M., Rodnianski, T.: A proof of Price's law for the collapse of a self-gravitating scalar field. Invent. Math. 162(2), 381-457 (2005)
6. Dafermos, M., Rodnianski, I.: Small-amplitude nonlinear waves on a black hole background. J. Math. Pures Appl. (9) 84(9), 1147-1172 (2005)
7. Lindblad, H., Sterbenz, J.: Global Stability for Charged Scalar Fields on Minkowski Space. Submitted
8. Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-time. Cambridge Monographs on Mathematical Physics, No. 1. London-New York: Cambridge University Press, 1973
9. Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. San Francisco, CA: W. H. Freeman and Co., 1973
10. Morawetz, C.: The limiting amplitude principle. Comm. Pure Appl. Math. 15, 349-361 (1962)
11. Taylor, M.E.: Tools for PDE. Pseudodifferential operators, paradifferential operators, and layer potentials. Mathematical Surveys and Monographs 81. Providence, RI: American Mathematical Society, 2000