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In this short paper, we prove a well-posedness theorem for the massive wave equation (with the mass satisfying the Breitenlohner-Freedman bound) on asymptotically anti-de Sitter spaces.
P. Breitenlohner and D. Z. Freedman, “Stability in Gauged Extended Supergravity,” Ann. Phys
1982
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, “Asymptotically anti-De Sitter Spaces,” Commun. Math. Phys
1985
Earlier work this paper cites.
American Mathematical Society, Providence, RI, 1998
L. C. Evans, Partial Differential Equations · 1998
Earlier work this paper cites.
S. Hollands, A. Ishibashi, and D. Marolf, “Comparison between various notions of conserved charges in asymptotically AdS-spacetimes,” Class. Quant. Grav
2005
Cited alongside, same era.
2008
Cited alongside, same era.
A. Bachelot, “The Dirac System on the Anti-de Sitter Universe,” Commun. Math. Phys
2008
Cited alongside, same era.
Cited in the paper.
A. Vasy, “The wave equation on asymptotically Anti-de Sitter spaces,” to appear in Analysis and PDE
2009
Later among the works it cites.
G. Holzegel, “On the massive wave equation on slowly rotating Kerr-AdS spacetimes,” Comm. Math. Phys
2010
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2011
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