Imperial College London
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ProfessorGustavHolzegel

Faculty of Natural Sciences, Department of Mathematics

Professor of Pure Mathematics
 
 
 
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Contact

 

g.holzegel CV

 
 
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Location

 

625Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Holzegel:2017:10.1080/03605302.2017.1390677,
author = {Holzegel, G and Shao, A},
doi = {10.1080/03605302.2017.1390677},
journal = {Communications in Partial Differential Equations},
pages = {1871--1922},
title = {Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries},
url = {http://dx.doi.org/10.1080/03605302.2017.1390677},
volume = {42},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We generalize our unique continuation results recently established for a class of linear and nonlinear wave equations g+σ =   (,∂) on asymptotically anti-de Sitter (aAdS) spacetimes to aAdS spacetimes admitting nonstatic boundary metrics. The new Carleman estimates established in this setting constitute an essential ingredient in proving unique continuation results for the full nonlinear Einstein equations, which will be addressed in forthcoming papers. Key to the proof is a new geometrically adapted construction of foliations of pseudo-convex hypersurfaces near the conformal boundary.
AU  - Holzegel,G
AU  - Shao,A
DO  - 10.1080/03605302.2017.1390677
EP  - 1922
PY  - 2017///
SN  - 0360-5302
SP  - 1871
TI  - Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries
T2  - Communications in Partial Differential Equations
UR  - http://dx.doi.org/10.1080/03605302.2017.1390677
UR  - http://hdl.handle.net/10044/1/51803
VL  - 42
ER  -
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