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 ,

Jena VK, Shao A ( 2024 ) . Control of waves on Lorentzian manifolds with curvature bounds . ESAIM Control Optimisation and Calculus of Variations vol. 30 ,

Shao A ( 2024 ) . Bulk-Boundary Correspondences and Unique Continuation in Asymptotically Anti-de Sitter Spacetimes . 2021-2022 MATRIX Annals , vol. 5 , Springer Nature

Shao CT, Guisset S ( 2024 ) . On counterexamples to unique continuation for critically singular wave equations . Journal of Differential Equations

Shao A ( 2024 ) . Control of Parabolic Equations with Inverse Square Infinite Potential Wells . Extended Abstracts 2021/2022 , vol. 3 , Springer Nature

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 )

Dongbing L, 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 .

Shao CT, Chatzikaleas A ( 2022 ) . A gauge-invariant unique continuation criterion for waves in asymptotically Anti-de Sitter spacetimes . Communications in Mathematical Physics

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

Shao A ( 2020 ) . The near-boundary geometry of Einstein-vacuum asymptotically Anti-de Sitter spacetimes . Classical and Quantum Gravity

Shao CT ( 2019 ) . On Carleman and observability estimates for wave equations on time-dependent domains . Proceedings of the London Mathematical Society

SHAO CTA, Holzegel G ( 2017 ) . Unique Continuation from Infinity in Asymptotic Anti-de Sitter Spacetimes II: Non-static Boundaries . Communications in Partial Differential Equations

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 Society1 - 1 .

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

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 .