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The Null-Timelike Boundary Problems of Linear Wave Equations in Asymptotically Anti-de Sitter Space

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arxiv 1910.01929 v1 pith:7EP5XPM2 submitted 2019-10-03 gr-qc math-phmath.MP

classification gr-qcmath-phmath.MP
keywords anti-deasymptoticallyboundaryequationsgivenhypersurfacelinearsitter
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In this paper, we study the linear wave equations in an asymptotically anti-de Sitter spacetime. We will consider the mixed boundary problem, where the initial data are given on an outgoing null hypersurface and a timelike hypersurface, and the asymptotic information is given on conformal infinity.

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