Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients

DOI10.1090/S0002-9939-05-07782-8zbMath1065.35085OpenAlexW1879248739MaRDI QIDQ4671874

Jin Cheng, Gen Nakamura, Ching-Lung Lin

Publication date: 27 April 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07782-8

zbMATH Keywords

geodesic of the solution

Mathematics Subject Classification ID

Higher-order hyperbolic systems (35L55) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (4)

Continuation of solutions to elliptic and parabolic equations on hyperplanes and application to inverse source problems ⋮ Unique continuation on a sphere for Helmholtz equation and its numerical treatments ⋮ Unique continuation for the elastic transversely isotropic dynamical systems and its application ⋮ Conditional Stability for the Hexagonal Anisotropic Elastic Dynamical Systems

Cites Work

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• Uniqueness for an ill-posed problem
• A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
• Unique continuation on a hyperplane for wave equation
• Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques
• Unique continuation on a line for harmonic functions
• Stability in line unique continuation of harmonic functions: general dimensions

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