WELL-POSEDNESS FOR THE MASSIVE WAVE EQUATION ON ASYMPTOTICALLY ANTI-DE SITTER SPACETIMES
2012 ◽
Vol 09
(02)
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pp. 239-261
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Keyword(s):
In this 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. The solution is constructed as a limit of solutions to an initial boundary value problem with boundary at a finite location in spacetime by finally pushing the boundary out to infinity. The solution obtained is unique within the energy class (but non-unique if the decay at infinity is weakened).
1987 ◽
Vol 27
(3)
◽
pp. 44-49
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2018 ◽
1993 ◽
Vol 16
(1)
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pp. 61-98
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2008 ◽
pp. 747-753
1964 ◽
Vol 70
(4)
◽
pp. 633-637
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1998 ◽
Vol 38
(3)
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pp. 250-261
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