## Shao, Arick

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 Author ID: shao.arick Published as: Shao, Arick External Links: MGP
 Documents Indexed: 16 Publications since 2011 Co-Authors: 10 Co-Authors with 10 Joint Publications 248 Co-Co-Authors
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### Co-Authors

 6 single-authored 5 Alexakis, Spyros 2 Holzegel, Gustav 1 Egli, Daniel 1 Enciso, Alberto 1 Fröhlich, Jürg Martin 1 Gang, Zhou 1 McGill, Alex 1 Schlue, Volker 1 Sigal, Israel Michael 1 Vergara, Bruno
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### Serials

 3 Classical and Quantum Gravity 2 Communications in Mathematical Physics 2 Communications in Partial Differential Equations 2 Journal of the European Mathematical Society (JEMS) 1 Advances in Mathematics 1 Journal of Functional Analysis 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Annales Henri Poincaré 1 Journal of Hyperbolic Differential Equations 1 Séminaire Laurent Schwartz. EDP et Applications
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### Fields

 13 Partial differential equations (35-XX) 9 Differential geometry (53-XX) 7 Relativity and gravitational theory (83-XX) 3 Systems theory; control (93-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

12 Publications have been cited 71 times in 40 Documents Cited by Year
Unique continuation from infinity for linear waves. Zbl 1329.35087
Alexakis, Spyros; Schlue, Volker; Shao, Arick
2016
Global uniqueness theorems for linear and nonlinear waves. Zbl 1329.35007
Alexakis, Spyros; Shao, Arick
2015
Unique continuation from infinity in asymptotically anti-de Sitter spacetimes. II: Non-static boundaries. Zbl 1385.83002
Holzegel, Gustav; Shao, Arick
2017
On breakdown criteria for nonvacuum Einstein equations. Zbl 1215.83020
Shao, Arick
2011
Unique continuation from infinity in asymptotically anti-de Sitter spacetimes. Zbl 1351.83009
Holzegel, Gustav; Shao, Arick
2016
On Carleman and observability estimates for wave equations on time-dependent domains. Zbl 1437.35441
Shao, Arick
2019
Hamiltonian dynamics of a particle interacting with a wave field. Zbl 1281.35084
Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael
2013
A generalized representation formula for systems of tensor wave equations. Zbl 1227.35201
Shao, Arick
2011
On the profile of energy concentration at blow-up points for subconformal focusing nonlinear waves. Zbl 1377.35199
Alexakis, Spyros; Shao, Arick
2017
On the geometry of null cones to infinity under curvature flux bounds. Zbl 1304.83005
Alexakis, Spyros; Shao, Arick
2014
New tensorial estimates in Besov spaces for time-dependent $$(2+1)$$-dimensional problems. Zbl 1317.35270
Shao, Arick
2014
Bounds on the Bondi energy by a flux of curvature. Zbl 1346.83025
Alexakis, Spyros; Shao, Arick
2016
On Carleman and observability estimates for wave equations on time-dependent domains. Zbl 1437.35441
Shao, Arick
2019
Unique continuation from infinity in asymptotically anti-de Sitter spacetimes. II: Non-static boundaries. Zbl 1385.83002
Holzegel, Gustav; Shao, Arick
2017
On the profile of energy concentration at blow-up points for subconformal focusing nonlinear waves. Zbl 1377.35199
Alexakis, Spyros; Shao, Arick
2017
Unique continuation from infinity for linear waves. Zbl 1329.35087
Alexakis, Spyros; Schlue, Volker; Shao, Arick
2016
Unique continuation from infinity in asymptotically anti-de Sitter spacetimes. Zbl 1351.83009
Holzegel, Gustav; Shao, Arick
2016
Bounds on the Bondi energy by a flux of curvature. Zbl 1346.83025
Alexakis, Spyros; Shao, Arick
2016
Global uniqueness theorems for linear and nonlinear waves. Zbl 1329.35007
Alexakis, Spyros; Shao, Arick
2015
On the geometry of null cones to infinity under curvature flux bounds. Zbl 1304.83005
Alexakis, Spyros; Shao, Arick
2014
New tensorial estimates in Besov spaces for time-dependent $$(2+1)$$-dimensional problems. Zbl 1317.35270
Shao, Arick
2014
Hamiltonian dynamics of a particle interacting with a wave field. Zbl 1281.35084
Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael
2013
On breakdown criteria for nonvacuum Einstein equations. Zbl 1215.83020
Shao, Arick
2011
A generalized representation formula for systems of tensor wave equations. Zbl 1227.35201
Shao, Arick
2011
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### Cited by 44 Authors

 11 Shao, Arick 4 Rodnianski, Igor 4 Speck, Jared 3 Alexakis, Spyros 3 Fröhlich, Jürg Martin 2 Donninger, Roland 2 Gang, Zhou 2 Gannot, Oran 2 Holzegel, Gustav 2 Li, Mengni 2 Shlapentokh-Rothman, Yakov 2 Wrochna, Michał 2 Yu, Pin 1 Bottois, Arthur 1 Cameron, Peter Jephson 1 Carranza, Diego A. 1 Chatzikaleas, Athanasios 1 Chodosh, Otis 1 Choulli, Mourad 1 Cîndea, Nicolae 1 Coley, Alan Albert 1 Czimek, Stefan 1 Dafermos, Mihalis 1 De Roeck, Wojciech 1 Disconzi, Marcelo Mendes 1 Dunajski, Maciej 1 Dybalski, Wojciech 1 Enciso, Alberto 1 Feizmohammadi, Ali 1 Graf, Olivier 1 Jena, Vaibhav Kumar 1 Léger, Tristan 1 Luo, Chenyun 1 Mazzone, Giusy 1 McGill, Alex 1 Münch, Arnaud 1 Oksanen, Lauri 1 Petersen, Oliver Lindblad 1 Schnelli, Kevin 1 Valiente Kroon, Juan Antonio 1 Vergara, Bruno 1 Wallauch, David 1 Wong, Willie Wai-Yeung 1 Yacine, Mokhtari
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### Cited in 22 Serials

 5 Classical and Quantum Gravity 4 Communications in Mathematical Physics 4 Journal of Differential Equations 3 Advances in Mathematics 3 Journal of the European Mathematical Society (JEMS) 2 Communications in Partial Differential Equations 2 Selecta Mathematica. New Series 2 Journal of Hyperbolic Differential Equations 2 Séminaire Laurent Schwartz. EDP et Applications 1 General Relativity and Gravitation 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Transactions of the American Mathematical Society 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Journal of the Institute of Mathematics of Jussieu 1 Analysis & PDE 1 Evolution Equations and Control Theory 1 SN Partial Differential Equations and Applications
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### Cited in 14 Fields

 29 Partial differential equations (35-XX) 19 Relativity and gravitational theory (83-XX) 16 Differential geometry (53-XX) 6 Quantum theory (81-XX) 5 Systems theory; control (93-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Fluid mechanics (76-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX)