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

Abstract

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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