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Research

Publications: DR Chung Tse Shao

Shao A, Vergara B ( 2024 ) . Approximate boundary controllability for parabolic equations with inverse square infinite potential wells . Nonlinear Analysis vol. 248 , Article 113624 , 113624 - 113624 .
Kumar Jena V, Shao A ( 2024 ) . Control of waves on Lorentzian manifolds with curvature bounds . ESAIM: Control, Optimisation and Calculus of Variations vol. 30 , 65 - 65 .
Shao A ( 2024 ) . Bulk-Boundary Correspondences and Unique Continuation in Asymptotically Anti-de Sitter Spacetimes . MATRIX Book Series , Springer Nature Switzerland
Guisset S, Shao A ( 2024 ) . On counterexamples to unique continuation for critically singular wave equations . Journal of Differential Equations vol. 395 , 223 - 261 .
Shao A ( 2024 ) . Control of Parabolic Equations with Inverse Square Infinite Potential Wells . Trends in Mathematics , Springer Nature Switzerland
Holzegel G, Shao A ( 2023 ) . The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes . Archive for Rational Mechanics and Analysis vol. 247 , ( 3 ) Article 56 ,
Cha LD, Shao A ( 2023 ) . Global stability of traveling waves for (1 + 1)-dimensional systems of quasilinear wave equations . Journal of Hyperbolic Differential Equations vol. 19 , ( 04 ) 549 - 586 .
Holzegel G, Shao A ( 2023 ) . The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes . ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS vol. 247 , ( 3 ) Article ARTN 56 ,
Chatzikaleas A, Shao A ( 2022 ) . A Gauge-Invariant Unique Continuation Criterion for Waves in Asymptotically Anti-de Sitter Spacetimes . Communications in Mathematical Physics vol. 395 , ( 2 ) 521 - 570 .
Jena VK, Shao A ( 2021 ) . Control of waves on Lorentzian manifolds with curvature bounds .
Enciso A, Shao A, Vergara B ( 2021 ) . Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials . JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY vol. 23 , ( 10 ) 3459 - 3495 .
McGill A, Shao A ( 2020 ) . Null geodesics and improved unique continuation for waves in asymptotically anti-de Sitter spacetimes . Classical and Quantum Gravity vol. 38 , ( 5 ) 054001 - 054001 .
Shao A ( 2020 ) . The near-boundary geometry of Einstein-vacuum asymptotically anti-de Sitter spacetimes . Classical and Quantum Gravity vol. 38 , ( 3 ) 034001 - 034001 .
Shao A ( 2019 ) . On Carleman and observability estimates for wave equations on time‐dependent domains . Proceedings of the London Mathematical Society vol. 119 , ( 4 ) 998 - 1064 .
Holzegel G, Shao A ( 2017 ) . Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries . Communications in Partial Differential Equations vol. 42 , ( 12 ) 1871 - 1922 .
Alexakis S, Shao A ( 2017 ) . On the profile of energy concentration at blow-up points for subconformal focusing nonlinear waves . Transactions of the American Mathematical Society vol. 369 , ( 8 ) 5525 - 5542 .
Alexakis S, Shao A ( 2016 ) . Bounds on the Bondi energy by a flux of curvature . Journal of the European Mathematical Society vol. 18 , ( 9 ) 2045 - 2106 .
Holzegel G, Shao A ( 2016 ) . Unique Continuation from Infinity in Asymptotically Anti-de Sitter Spacetimes . Communications in Mathematical Physics vol. 347 , ( 3 ) 723 - 775 .
Alexakis S, Schlue V, Shao A ( 2016 ) . Unique continuation from infinity for linear waves . Advances in Mathematics vol. 286 , 481 - 544 .
Alexakis S, Shao A ( 2015 ) . Global uniqueness theorems for linear and nonlinear waves . Journal of Functional Analysis vol. 269 , ( 11 ) 3458 - 3499 .
Shao A ( 2015 ) . New tensorial estimates in Besov spaces for time-dependent (2 + 1)-dimensional problems . Journal of Hyperbolic Differential Equations vol. 11 , ( 04 ) 821 - 908 .
Alexakis S, Shao A ( 2014 ) . On the geometry of null cones to infinity under curvature flux bounds . Classical and Quantum Gravity vol. 31 , ( 19 ) 195012 - 195012 .
Egli D, Fröhlich J, Gang Z, Shao A, Sigal IM ( 2013 ) . Hamiltonian Dynamics of a Particle Interacting with a Wave Field . Communications in Partial Differential Equations vol. 38 , ( 12 ) 2155 - 2198 .
Shao A ( 2011 ) . A Generalized Representation Formula for Systems of Tensor Wave Equations . Communications in Mathematical Physics vol. 306 , ( 1 ) 51 - 82 .
Shao A ( 2011 ) . On Breakdown Criteria for Nonvacuum Einstein Equations . Annales Henri Poincaré vol. 12 , ( 2 ) 205 - 277 .
Shao CT, Enciso A, Vergara B . Controllability of parabolic equations with inverse square infinite potential wells via global Carleman estimates . Analysis & PDE