Unique continuation from infinity for linear waves
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Publication:890135
DOI10.1016/j.aim.2015.08.028zbMath1329.35087arXiv1312.1989OpenAlexW1894249260MaRDI QIDQ890135
Volker Schlue, Arick Shao, Spyridon Alexakis
Publication date: 9 November 2015
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.1989
A priori estimates in context of PDEs (35B45) PDEs in connection with relativity and gravitational theory (35Q75) Continuation and prolongation of solutions to PDEs (35B60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (17)
Unique continuation from infinity in asymptotically anti-de Sitter spacetimes ⋮ On the rigidity from infinity for nonlinear Alfvén waves ⋮ Time-periodic Einstein-Klein-Gordon bifurcations of Kerr ⋮ A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes ⋮ A uniqueness theorem for 3D semilinear wave equations satisfying the null condition ⋮ The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes ⋮ Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition ⋮ Unilateral rigidity from infinity for nonlinear Alfvén waves in ideal magnetohydrodynamics ⋮ Unique continuation from infinity in asymptotically anti-de Sitter spacetimes II: Non-static boundaries ⋮ Carleman estimate for ultrahyperbolic operators and improved interior control for wave equations ⋮ Extension of Killing vector fields beyond compact Cauchy horizons ⋮ On Schwarzschild causality in higher dimensions ⋮ Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials ⋮ Unnamed Item ⋮ On controllability of waves and geometric Carleman estimates ⋮ An inverse scattering theorem for (1 + 1)-dimensional semi-linear wave equations with null conditions ⋮ Wave equations with initial data on compact Cauchy horizons
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