Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries

DOI10.1080/03605302.2017.1390677zbMath1385.83002arXiv1608.07521OpenAlexW3106119965MaRDI QIDQ4603837

Arick Shao, Gustav Holzegel

Publication date: 19 February 2018

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07521

zbMATH Keywords

Klein-Gordon equationunique continuationCarleman estimatesanti de Sitter

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (14)

Unique continuation from infinity in asymptotically anti-de Sitter spacetimes ⋮ A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes ⋮ Holographic characterisation of locally anti-de Sitter spacetimes ⋮ The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes ⋮ Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries ⋮ Extension of Killing vector fields beyond compact Cauchy horizons ⋮ A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes ⋮ The near-boundary geometry of Einstein-vacuum asymptotically anti-de Sitter spacetimes ⋮ Null geodesics and improved unique continuation for waves in asymptotically anti-de Sitter spacetimes ⋮ Mathematical general relativity ⋮ Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials ⋮ Killing boundary data for anti-de Sitter-like spacetimes ⋮ PROPAGATION OF SINGULARITIES ON AdS SPACETIMES FOR GENERAL BOUNDARY CONDITIONS AND THE HOLOGRAPHIC HADAMARD CONDITION ⋮ Wave equations with initial data on compact Cauchy horizons

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• Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries

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