Well-posedness for the massive nonlinear wave equation on asymptotically AdS spacetimes |
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Authors: | Boling Guo Fengxia Liu |
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Institution: | 1. Institute of Applied Physics and Computational Mathematics, Beijing, China;2. The Graduate School of China Academy of Engineering Physics, Beijing, China |
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Abstract: | In this paper, we prove some well-posedness theorems for the nonlinear massive wave equation (with the mass satisfying the Breitenlohner-Freedman bound) on asymptotically anti-de Sitter spaces. The solution is constructed by contraction mapping method and also 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. |
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Keywords: | asymptotically AdS spacetime Breitenlohner and Freedman bound nonlinear Klein-Gordon equation |
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